A divorce can either be contested or not contested.
Uncontested; Now the fastest, (and by far the least expensive) way to get a divorce is if you can agree on the terms. If you can agree on "who gets what" there is not a need for attorneys...this will cut the costs to a very small amount (court fees)
Contested; if you can not agree, this is a contested divorce. To proceed you need an attorney or need to act as your own attorney (very bad idea). Here the parties present evidence to the court on "who gets what" and the court decides. This takes longer and involves attorney fees for both sides.
SO, if you can agree with your "soon to be ex" on who gets what, great! If not, you need an attorney. SO will he.
All that said, the court will divide the property equally (so he will not get the home unless the court awards you an equal share of property from the marital estate).
As for the custody? The court presumes it is good for the kids to have both parents involved in their lives...so 50/50 is generally the default...though the court will vary this based on what is best for the kids
Please let me know if you have more questions. I am happy to help if I can. Otherwise, please rate the answer so I may get credit for my work.