Considering starting to date again

Please no judgement. I have been officially divorced as of a month ago. We havnt gotten our certificate in the mail yet but we went to court and had trial all that stuff. That was done a month ago. I told him I wanted a divorce in August 2020. I filed November 2020. We've been having a custody battle. And as of July 2021 we have been divorced. I am highly considering starting to date again. I'm not sure why I'm nervous if he finds out. Idk if its because he was abusive. But I have moved on from him since about August September of 2020 when I knew I wanted a divorce. I guess I'm asking a few things. Any tips out there on a single mom dating? Any ways to not worry about the ex? I would like to date someone atleast 6 months before introducing them to the children as they have gone through enough already.