Kate Hudson and Muse frontman Matt Bellamy are reportedly looking for a crib to fill with lovedom.

The ‘Fool’s Gold’ actress and Brit rock star are house-hunting for a property in New York after dating for just four months. (Uh-oh..you know what Hudson’s track record with rockers is..maybe he should just rent!).

The couple have reportedly been inseparable since meeting at the Coachella Festival in California earlier this year and believe the time is right to set up a lovedom nest.

A source told The Sun newspaper: “They’re very loved-up, they just click.

“Kate’s had a place in the city for five years but she wants somewhere bigger, so Matt’s suggested pooling their resources.”

Hudson also wants the home to have a playroom for her six-year-old son Ryder – her kidlet from her marriage to Black Crowes singer Chris Robinson -while Bellamy needs a studio to make music.

The source added: “Kate wants a studio for Matt and playroom for Ryder.”

Despite being snapped in public at the start of this year at a New York eatery, the pair decided to make their first official public appearance at the Glastonbury music festival in June – at which Muse headlined the main stage.

The 31-year-old actress watched her fella perform from the side of the stage and the loved-up pair spent the rest of their time at the famousy event partying with pals.

Bellamy also met Hudson’s Mamma and all-round pish-head, actress Goldie Hawn, earlier this month and admitted he was “quite nervous” beforehand.

And he also revealed marriage wasn’t out of the question.

He said: “We just have fun together and are seeing how it goes. Kate is great.

“It’s a little bit too soon to talk about weddings and stuff. Ask me in a few months though. I’ll let you know how it goes with Goldie – and then who knows?”