it's really difficult - isn't it. It's a bloody minefield at times - wanting to meet someone when the relationship with the father or mother of your children has failed - whether it is by aimicable consent or because of abuse or DV or all the little points inbetween.
It's made more difficult because you are a bit lonely, you're sick to the back teeth of doing everything on your own, want someone for 'yourself' to share time with and have sex but dogfish is right - you have a responsibility to yourself to be in a good place before you start the whole disappointing dating game and a responsibility to your child to not give the green light to another abusive tosser.
Why go through all the stress, heartache and trauma of leaving an abusive relationship only to enter into another one. I'm not saying that thisparticular bloke or all men in general are evil abusers blah blah boring blah - I'm saying that there are some men who will be rather clever in targetting vulnerable women with a history of being abused.
Protect yourself, protect your child. thats your job. Don't go all cow-eyed about a bloke off the internet who has spent time inside for a 'fight'
because time inside for a 'fight' implies to me that he has been quick to temper, has used his fists to settle an argument and was not mindful of the consequences of his actions.
'oh but he wouldn't hit a woman...'
'he said it was because....'
'the other bloke provoked him...'
'he's changed...'
'it was a mistake'
'it was a long time ago' 
I remember that first lovely really exciting bit when you're chatting with someone and you just seem to click, but FFS, step back, get a bit of context - by all means meet him if you're open to a second chance, but make sure someone knows where you are going (if you don't want to admit IRL that you are dating, inbox one of us with the details of where you are going & arrange to call one of us when you are home-safe etc) I'm not calling you daft and I don't want to scaremonger, but absolutely stick by the internet dating rules - public place, coffee, no lift home, no walking you to your door etc.
I'm sorry. I don't want to be on your case - truly, I don't because by all accounts you've had a rough time and deserve happiness; I'm looking out for you and imposing the 'wisdom' of my many, many years. You can see a brief glimpse of what you define as happiness and you're grabbing at it with both hands. Please, please think very caerfully about this.