It's hard to answer, since most men my age (late 50s) have children. I was wary of men who had no contact with theirs.
I raised my three children alone after their deadbeat dad left, and didn't date until they were adults and happy for me to. Men rarely wait or have their children full-time as I did, but I put my children first before dating.
My DP has two children, including a ten-year-old, and prioritises childcare. Since he has her during the holidays, that limits our time together. But he’s very present in her life, which makes him a good dad. If we break up, I wouldn't date another man with a young child. Still, he ticks many boxes: he has hair, shares my values, is tall, funny, solvent, and doesn't look like a fish holding an egg on a stick.
I could find a younger model, but I'm not after a cock lodger or casual hook-ups.