I agree with you that it is simplest and easiest on your children. Over 10 years ago when I found myself alone with a young child, I initially assumed another single parent was the way to go and joined a site specifically for single parents.
I soon discovered that it was a case of them juggling EOW, exes, etc and so complicated to even schedule a date. It was hard enough for me as I had my child full-time as their father was deceased.
Or, they were childless and specifically looking for single mums, but like mentioned, hard to know their intentions. I was late 20's and even had some 60+ year old men trying to chat me up 🤢.
I joined a regular site and found my wonderful husband as the second match I met up with. He was childless at 30, but pragmatic that women of a similar age might have a child/children. He was open to having another child (my preference), or sticking with the one I had.
He is an amazing dad to that child, having legal step-parental responsibility, and our 2nd child was quickly followed by a surprise gift of a 3rd!