What options do you think you have available to you? Whatever you land on will likely be the options you actually have.
I’d agree that you ought to start with dates that are during school times so you’re not wasting precious babysitting time on someone who - in all probability if your only source of men is dating apps - is likely to be a bit of a loser. Then, when you get to know them better you’d need to think about how you can date in the evenings. If you’re certain you’ll have nobody to babysit for you then it seems your only option is to have them over after your children are in bed, as another poster has already said. Only you know if that’s something you’re comfortable with.
It’s not something I would personally do or advocate for tbh. I am a lone parent to one child and there’s no chance in hell I’d even give out my address to a man in the early stages of dating, let alone have them in my home. More than it just being where we live, I consider our home to be my child’s safe space, and his safety and security (in all the senses) is of paramount importance. As I’m sure it is for you and yours.
We do differ though as don’t consider dating a priority. IMO at the most it’s something I’d want to do, it’s not something I need to do. My wants will always come second to my son’s needs, and there is no way that my child would ever need his mum to date. I appreciate it’s something you feel is very important and that’s ok, we’re all different. If your options are as limited as you say, and there are no likely organic situations in which you’ll meet a decent man, then for my money it’s a long line of day dates - and day sex, there’s nothing wrong with that - with blokes from Tinder and Hinge, or no dating until you can actually spend evenings out of the house.
I wish you the best whatever you decide. I absolutely empathise on the loneliness front, it’s tough going doing it all on your own sometimes. Take care.