Separating- Can I rent while I own a home?

My husband and I have decided to separate. I don’t live near any family or support system, but I want to stay in the same city so my son can see his dad often. I make enough money on my own to be able to rent my own place. My question is, my husband and I own a house together. Would landlords or rental agencies turn me down because I am “co” owning a house already? Would the house need to be 100% turned over to my husband in divorce court first? ( I know I’m not using great phrases, I’m new to this) Side note I have good credit…anyone else been in a situation like this before?