I was a lone parent with my first but had grandparents support. However it was mainly for work so I didn’t have a massive social life. However my work and hobbies (which looking back were more side hustles as I’d do things I enjoyed for extra income) became my social time. And I got to do cool things and go to places. A mum friend of mine said that when she saw my IG posts she thought I was always out, then when she got to know me she realised I was either at work or home and I actually spent a lot of time with my child - because she was the mum friend I would go out with during weekends and school holidays but we were always with our children.
I think a huge part of it is mindset. Me and my DD went everywhere together. I go to her stuff and she will come to my age appropriate stuff. We did galleries together (despite her many complaints), I took her to outdoor local festivals and we.danced together, but we did a lot at home too, we baked, I have a craft based hobby and she was part of that. We went to restaurants together, I have a picture of us at an Italian restaurant and we both have big glasses of juice that look like mocktails. I don’t post my children online - I talk about them, but early post unless it’s a story, just a personal choice, but I’m sure if I posted pictures of the resturant and my food and a selfie of myself, you’d think I was out being a grown up, but I’m actually spending time with my kid.
I also think it gets easier when they turn 5, as you have more summer clubs available. They are still very much dependent on you at 3, and it’s harder to find pockets of time.
If it’s a cool timeline you want, you can find ways to go on adventures with your children, capture nice pics and post them.
if you want more time for yourself doing adult stuff, lean on your village abit more, go out with some friends every now and then, or you can do something with your mums friends and have the children play. We did that a lot, we’d go on walks around interesting areas with the children and having another mum makes a difference.