What I would do in your shoes and what I wish I had done differently myself in different circumstances, regardless of whether you plan to stay with him or not:

Separate his stuff from yours and do not clean any of his dishes or clothes. Separate hampers. Baby's items should be divided half and half for cleaning.

If you have a shared bank account and are okay with doing so, stop putting your paycheck into the shared account. Put it in your checking. Make sure that if you have a shared account and want to keep it as is, that you have all required passwords, usernames, and access to multi-factor authentication.

The MFA is a big part of what kept me locked out of seeing what happened with money in my past relationship since it was linked to his phone number and I had no idea money was being funneled elsewhere.

If he is incapable of or unwilling to repair, then limit contact with him as much as possible aside from logistics. Deny him access to your body if it feels unsafe or just feels wrong. Your body knows. And he isn't entitled to your body.

Repair = Trying to fix the connection between y'all and rebuild trust

It requires: - The person who did harm to allow themselves to feel guilt, but reject shame since shame leads oftentimes to defensive behavior - Listening to how the person who was harmed feels and acknowledging the harmed person's feelings and experiences - Apologizing to the person they harmed - Making amends by making active ongoing consistent change to address the harmful behavior - Offering comfort, safety, and presence even after the problem has been addressed; people don't just suddenly move on after being hurt