Advice on dating as a single mom after abuse please!

Hey everyone.  I really need some advice.

So I am 25 currently living with my mom, sister, and 11 month old daughter.  My daughter and I just moved in a few months ago because I was leaving a very toxic, emotionally abusive relationship and didn’t have another option at the time.  Well,  I met this guy who I am really starting to like.  He is 2 years older than me and seems to really have his life together.  He lives by himself, is a nurse, and just seems like he doesn’t come with much baggage.

He knows I have a daughter and has been very sweet and supportive of that.  I have touched a bit on my past with her dad, but not too much.  I am a little embarrassed by the fact that she and I are staying with my mom for the next few months.  How should I bring that up to him?  I don’t want to be embarrassed, but I really can’t help it.  He is a really nice guy and I just don’t want to scare him away.

Any advice is appreciated!! Also, how do you single mamas handle dating?  My mom is great at helping me watch the baby when I need, but I don’t want to be away from my daughter much.  I am so new to this lol so please help me!