I doubt very much that you will find an airline to be accommodating you in the way you need it.
All will need you to go on a several week-long training course. And as far as I know, all of them require you to start full-time, and then you will probably need to join a long waiting list for part time. They will all expect you to fly all times of day, 24/7/365 no matter if you are part time or full time.
If your home life restricts you that much in how flexible you can be for an airline, you will probably not have a good time returning to the industry. I would even go as far as saying it's near impossible!
Having said that, that shouldn't discourage you! If you really want to return, see what you can do about your private life, and if it's not working now, try again in a few years time when the kids are a bit older and your circumstances have changed! Good luck either way!