I’ve been a lone parent of 2dc since I was about your age, I’m nearly 40 now. I completely understand what you’re saying as I used to very much feel like that too.
I have tried dating and have had relationships. None of them have worked. The truth is it’s a really different ballgame when you have DC. Either men don’t have their own DC, and therefore don’t really tend to be that understanding that you do, or they do and then you have the complications of trying to blend families which is a fucking nightmare IME. There’s not that many men who genuinely are ok with taking on someone else’s kids, I have found. Plenty who are happy to shag their mother, but that’s about it.
I’m sure there are exceptions, but the only people IME who are truly settled with someone else after already having DC are women who have gone on to have another child with that person. So if you want to have another DC I’d say that increases your odds! I definitely didn’t want anymore.
I’ve pretty much given up now. The good news Is that the worst of the loneliness will pass, it’s definitely worse when the DC are little and you don’t have a lot of free time or freedom to do what you want. They get older and more independent. And there are definite perks to being able to parent the way you want, without having to consider someone else. Mine are both secondary/college age now and I have learnt to love my life. My kids are amazing, I have lots of great friends and a fab social life, and have great sex on tap whenever I want it, even if it’s not in a committed relationship.
Sorry if my post comes across as bleak, I don’t mean it like that. My point is that maybe you’ll be lucky and find someone great, but if not honesty it’s really not all bad once you start getting your time and independence back. I’d have to meet someone pretty bloody amazing to want to give that up now.