I have been there, you are not alone. I know that you seek companionship, but give yourself time to heal from the hurt. I used to look at others and what they have, and feel incomplete.
You are strong enough to leave a partner that was not right for you, that is a lot.
Take it very slow, and if you want to play a little do it!
Wait until you feel that it is serious until you bring your daughter into it. Have a little fun, you deserve it. You are an adult and enjoy your dates.
It took me almost 10 years to readjust and find the right partner and my daughter and I lived alone together, then I found the right person, and remarried, and am super happy it can happen. Hang in.