Absolutely bull, don't listen to twatface, you have time on your side as well.
My STBXH left early this year, for someone younger and 'more ambitious' (TWAT! Even his mum pointed out that 10 years ago before I took a step back in my career for OUR kids, I was ambitious go-getter!). I was devastated. I couldn't eat, sleep or stop crying for the first couple of months, then with the support of some amazing friends, I got my life back for the first time since I had kids. I went to gigs, afternoon teas, art exhibitions, movies, wandered around towns with my single friends and also my friends' families. STBXH was a selfish twunt who left me to do all the child-rearing/housework despite me maintaining a fairly well paid flexible part-time job.
I couldn't think about relationships for a long time. I couldn't see myself with anyone else but ex-twunt (not because I was NOT over him, it was because I just couldn't imagine it as I had been with him 12 years). And I thought like your ex in my darkest moments, 'Who would want to take on a 36-year-old woman with two young energetic boys?' I got all the help I could get, I got a therapist on the NHS (seeing him for the final time this week!), and he did CBT with me. I concentrated on my boys and getting through our split with as little damage as possible (especially when ex-twunt wanted to introduce his GF to them 4 months after he moved out ).
Almost a year on, things are so different. I have met STBXH's girlfriend and I actually think she is lovely, for which I am happy for as she will be spending lots of time around my DSs. My DSs are very well-adjusted and happy. I am finally finishing my therapy and looking forward to that as I finally feel I am ready to do without that support. I've gone from thinking who would want to take on a woman with two kids to thinking my boys are so freaking lovely, ANY man would be lucky to have them in their lives!
I've also completely and unexpectedly met someone very, very lovely. He is completely different from STBXH and not someone I expected myself to go out with in the past. But he has been such an unexpected blessing in my life, I still find it hard to believe how I managed to meet him when I wasn't looking. And he is exactly what I needed after ex-twunt. He takes care of me, he absolutely spoils me. He buys me flowers. He took me away for a weekend soon after we met. He buys me lovely presents. He also has a daughter my older DS's age. We haven't got to the stage of meeting our DCs yet as we want to make sure we do it right if we last the distance but I'm enjoying the relationship for what it is now, which is just two people who have fallen in love rather unexpectedly! Even if we don't last, I know now it is possible to meet someone who would be willing to take me and my boys on, and not as a burden IYKWIM. Best of luck! You are still so early on the breakup and feeling fragile, don't let twunt bring you down, you are better than that!