I found love after a divorce as a single mum with 2 x young kids. It can 100% be done.
I took 3 years after the divorce to just enjoy being alone. I can honestly say that that time period working on myself, enjoying myself, learning what I want and more importantly did not want were critical to me finding a healthy, loving relationship. The rebound stage is a real thing, and I think you are best to navigate it whilst having a period of self growth and not try to lock yourself into anything too serious, too quickly just because you crave that familiarity of being a couple.
For the people judging and saying "you're not even divorced yet" - ignore them. I was on OLD sites within months of my split. They can be confidence boosting, and if nothing else they get you into the swing of chatting to men and flirting again. You do not need to meet anyone you don't want to & you don't owe the people you chat to, for however long, anything. I have no qualms in saying that I spent my 3 years of singledom enjoying myself, flirting, dating, built some lifelong memories with my friends and really spoiled my kids with love & attention. It was an incredibly happy time for me and my kids. When I met the guy I wanted to be with, I had to genuinely consider whether he was worth giving up my current setup for, and when I decided he was, I knew it was worthwhile pursuing.
Find what makes YOU happy and sod anything/anyone else. You would be amazed how quickly you adapt to your own little world with you and your babies and you don't really want anyone else to disturb that. Its healthy.