HALLE BERRY'S BABY DADDY I Want an Expensive Roof Over My Head!

Gabriel Aubry wants his 3-year-old daughter Nahla to live in surroundings to which she has become accustomed ... and he wants Halle to pay dearly for it.

TMZ has learned what Gabriel wants in the way of $$$ -- and it's a lot.  We've learned Aubry has filed legal docs asking the family law judge to force Halle to give him $15,000 - $20,000 a month for a proper home.  

Gabriel has also asked for a laundry list of other things from Halle, including what we're told is a "very large" amount of money for the little girl's clothing, as well as money to take the child to Canada to visit his family.

We're told Halle is fighting Gabriel tooth and nail on his request.  The hearing on the money issues was scheduled for Monday, but it's now been put off until April 9, in part because the family law judge wants to see what the dependency judge does to Gabriel.  

If the dependency judge takes away some of Gabriel's custody rights, it would have an impact on any child support Halle would have to fork over.