Dating as a single parent of two

I have a 3 year old and a 6 month old from my ex fiancé. He’s been dating someone else since I was 4 months pregnant and I had no clue. We ended our relationship prior. I’ve struggled with being lonely and having zero support here in his hometown. I’ve finally started getting back in shape and I’m a lot happier than I’ve been before. I created a dating profile and make it clear that I have children or course a lot of them don’t realize that I have a baby that’s 6 months until we have a conversation. A lot of them are scared off because of it. I’m looking to date since I’m starting over from a 5 year relationship but I’m sure they believe I’m looking for a replacement dad. To be clear, I’m not. I would like to keep the two separate for now. I don’t know if I’m trying to date to early. I need some advice. My kids are my life and everything I do is 98% for them, am I wrong for wanting an adult companion?