OP have you left it too late? You need something called an AMH test to tell you that, it'll give ovarian reserve. Also, would your mum be able to tell you the age she hit menopause? It's a rough indicator of your fertility.
I thought at 38 the clock was ticking and I was single, I knew I wanted a child and a partner, one of those was time limited so I started trying to go it alone. I figured by the time is dated a guy long enough to start thinking and talking about kids, even if I'd meet then instantly, if be pushing 40, too late for any interventions etc.
At our age people come with baggage, with a past, there's every chance that might include kids, you say you don't want to be a step parent but you do want a family, you might need to think about whether having a child is more important to you than meeting someone without kids, because there's every chance you can't have both. The more criteria you have, the harder you are making it to meet someone.
I'm not saying settle, in saying think what's important because you can't turn the clock back for a second chance.
And plenty of single women with children meet guys. This isn't 1950 where single parenthood had a stigma attached, there is no "normal family" anymore.
Anyway, I decided to go it alone, used a sperm donor, a couple miscarriages later I discovered it left it too late. My AMH gave me the equivalent level of fertility of a woman around 50. I'm considering ivf with donor eggs, just wish I knew if it would work.