Do you own or rent your home?
Are you going to pay half the utilities and expenses he incurred in his new place?
For OP's benefit, in most of the country, each party is expected to pay their own living expenses after the divorce is filed. There can be exceptions when there's a big mortgage, but it usually requires a temporary court order at the time they file for divorce for that to happen. And utilities and other living expenses would only rarely be split. So, normally, OP could file for divorce and ask for stbx to pay for part of the mortgage while the divorce is pending. The judge might or might not allow that, depending on circumstances. Forget the utilities and other expenses.
HOWEVER, that is the common situation in most states. I have no idea how it works in LA, so OP should consult an attorney for an opinion. LA law is based on entirely different precedent than the rest of the country.