I remarried with two very young DC. Mine were 1 and 3 when XH left. The 3yo, now a strapping 13 yo, is Autistic so rather challenging behaviour and management.
Don't give up. Be grateful that you've been able to process that wasn't the one without too much time investment.
I used online dating, and mumsnet dating chat page - very friendly and funny and a real spirit of we're all going through the same stuff, during the whole dating process. I read some very good articles that I found via the US match site about treating dating as a business deal. They helped my mind set about what I was after.
The lady who wrote the article suggested having three potentials lined up at any one time. Two and you risk mentally playing them off against each other, one and its all eggs in one basket.
Be honest, chat for a short while, meet for a brief get together, decide is this honestly worth more investment?
Enjoy the meeting process. People are interesting. It's fine to have enjoyed someones company, shared a coffee and to say actually there's not really relationship potential there.
Be honest. If you're looking for a friendship that will lead to a longer term relationship that's fine. If it puts people off, that's fine too - if they're after a few passionate dates but no commitment and you're looking for a bit more, then better filter the one-night standers and commitment-phobes out early.