Will I Be in a Bad Position if I Leave?

My husband, after 23 years of marriage has told me he wants an open marriage where he gets to have other women when he wants.  I don't want an open marriage.  He refuses to leave the house we own. I've been sleeping in the guest room for 4 months. We have 2 kids. One is 18 and the other is 15. I just signed a lease on an apartment and I'm afraid I could be charged with abandonment. Both of my kids are welcome to come live with me anytime and I set up a bedroom for them.  I rent only four blocks from the house, so they can walk back and forth between us. Do I have rights to child support from my husband?  I just want a year of separation for now and then I’ll reevaluate, but I don't want to lose my rights to half of the equity in the house if I leave. Will I be putting myself in a bad position if I leave? – Karen