I just wanted to wish you good luck - perhaps go for broke and work out how many days you would be prepared to travel for/work at current workplace and just state your terms in the interview?
It is hard to manage both your needs and your kids. Could you perhaps try to do a few dummy runs in the next week, so leave early and get home later. Not very environmentally sound to suggest driving unnecessarily either, lol. BUT it may help you a little (not that it will mimic your reality of 1 year in etc).