Diva sings a lulla-bye

There’s nothing like new motherhood to get you thinking about the nest, which may explain why singer-songwriter Christina Aguilera, whose son was born in January, has listed her Hollywood Hills home for $7,995,000.

Or maybe it’s just time to change houses, the way she changes her siren looks.

The architectural Midcentury sure sounds like an adult’s toy box: It has a gym, a pool and a 12-person spa with a fireplace. There’s also a professional screening room that seats 18. At 1,200 square feet, the master bedroom is bigger than many Manhattan apartments. The house is set high enough in the hills to enjoy jetliner views. There are five bedrooms and seven bathrooms in 6,500 square feet, and it all sits at the end of a cul-de-sac.

Is it baby-friendly? Uh, not really.

But not to fear that the Latin goddess of song will be homeless. Last summer, the multi-Grammy-winning Aguilera and her husband, music marketer Jordan Bratman, bought Ozzy and Sharon Osbourne’s former house in Beverly Hills for $11.5 million. It has six bedrooms and 10 bathrooms in 11,500 square feet.

Aguilera, 27, known for her powerful voice and platinum-blond sexpot image, made her TV debut on “Star Search” before she was 10, followed by “The New Mickey Mouse Club” at age 12. She has since sold more than 30 million albums worldwide.

Drew Fenton of Hilton & Hyland, Beverly Hills, has the listing.

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Listen up, all you Gyllenhaalics

Does the fact that “Brokeback Mountain” star Jake Gyllenhaal, 27, may be a boomerang kid who sometimes stays with his parents make you love him any less? Me neither.

Between trips to New York and Cabo with Reese Witherspoon, the Oscar-nominated actor just may be stumbling around in his jammies at the Hollywood Hills home owned by his parents, Stephen Gyllenhaal and Naomi Foner.

Our “I saw evidence of Jake” spotter toured the five-bedroom, three-bathroom, 3,000-square-foot home that is listed for sale. The asking price has dropped from $4.2 million to $3,795,000 -- sounds like they’re getting serious after three months on the market.

The listing agent says Jake doesn’t live here -- part time or otherwise -- and points instead to the “modern light-filled design with an expansive fully equipped cook’s kitchen” as a selling point. (Note to agent: Saying “come take a look and you might see Jake” is a bigger lure.) Anyway, the outdoor area was designed by landscape-designer-to-the-stars Jay Griffith. The property is almost an acre; the house sits way down a long driveway and juts out on a promontory from which there are magnificent city views.

Stephen Gyllenhaal is a poet and film and TV director. He directed the film version of the Pete Dexter novel “Paris Trout,” which was nominated for five Emmy awards.

His wife, Foner, has written the screenplays for several feature films, including “Running on Empty” -- for which she received an Academy Award nomination for best original screenplay and won a Golden Globe in the same category. She also wrote “Losing Isaiah” and, most recently, “Bee Season.” Then there are their two famous offspring: Jake -- can anyone’s eyes really be that blue? -- and Maggie Gyllenhaal, whose credits include “World Trade Center” (2006).

Denny Kagasoff of Prudential California Realty is the listing agent.

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Rock ‘n’ roll and wheel and deal

Don’t you just love aging rockers? Especially when they are good to their mothers?

Just last month, Tiger Woods introduced Van Halen as “one of the greatest bands in history.” (OK, the band was performing at a fundraiser for the Tiger Woods Foundation, but still.)

The band, around since 1972 in various incarnations, also has some real estate news to report.

First, there’s Mom’s house.

Rocker Eddie Van Halen and his brother, drummer Alex, sold a house for $1.5 million that they had bought for their mother in the Summit area of Beverly Hills, according to public records. They paid $688,000 for it in 1987; their mother, Eugenia, died in 2005 at age 89. It had been listed at $2.2 million.

Then, in other Van Halen real estate news, Kelly Van Halen, Alex’s second ex-wife, is selling her Encino home for $4,495,000.

The French Country estate has 6,900 square feet, which includes five bedrooms, seven bathrooms and a wisteria-covered gated entrance. The two-story entry has a sweeping staircase and screams “old-world charm.”

The chef’s kitchen has Carrera marble countertops and a center island, Viking professional stainless-steel appliances and a separate breakfast room.

There’s a library, four fireplaces, and a stone-edge Pebble Tec swimming pool.

Carol Wolfe and Michele Hall, both of Coldwell Banker Previews, share the listing.

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His home should pack a punch

Googling Ken Belanger is like scanning the program for “Friday Night Fights”: “Ken Belanger Hits Ulf Samuelsson,” “Ken Belanger KOs Brad Brown.” The former National Hockey League player’s legendary fights are all over YouTube.

Belanger is selling his Manhattan Beach town house for $1,125,000. The listing agent, Ed Kaminsky of SportStar Relocation in Manhattan Beach, assures us that there are no holes punched in the walls of the 1,876-square-foot, two-level home. The same cannot be said for some of Belanger’s hockey opponents.

The three-bedroom, three-bathroom home is in a gated community and has wide-open greenbelt views. The unit has two master suites, an updated kitchen and a large patio area. Belanger, 34, began his NHL career with the Toronto Maple Leafs in 1994. He also played for the New York Islanders and the Boston Bruins, and joined the Kings in 2001. He retired in 2006.

Belanger is now helping the same people he clobbered get relocated, as a vice president at SportStar Relocation.

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In Studio City, calling all buyers

Aaron Kamin, guitarist, songwriter and a founding member of the MTV award-winning band the Calling, has listed his Studio City home for sale for $1,199,000.

The two-story house has three bedrooms and three bathrooms in 2,250 square feet. There are hardwood floors and views of the mountains.

The Calling, which started out as an L.A. garage band, won the MTV Europe Music Award for best new band. The group is taking a hiatus.

Kamin, 30, met lead singer Alex Band when both were teenagers. Band was dating Kamin’s older sister. Eventually, Band dumped the sister in favor of the music alliance.

Burt Bakman and Mica Rabineau of Re/Max OTB Estates, Sherman Oaks, are the listing agents.

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ann.brenoff@latimes.com