Pink is a new momma, and looks like she wants to give baby Willow the best -- which means a new house!

The singer and hubby Carey Hart are selling their Sherman Oaks mansion for $4 million.

The 4,435 square foot, four bedroom home also has 4.25 bathrooms (yes -- a .25 bathroom -- it only has a toilet.) For Pink and Carey's fun summer days, there's an in-ground pool, a built-in BBQ, a gym, a fire pit and a grotto cave spa. Sexy!

Built in 1946, the Spanish-style home has built-in floor-to-ceiling bookcases as part of its charm. Wonder what Pink stocked those shelves with ...