Not sure what your question is - what time do you need to leave the houes?
ahaa! this is very tough and I feel for you. I did everything in my power to avoid travel when my kdis were small beucase I also didn't have any options to cover this kind of situation. Even now that my kids are 11 & 14 I try to only travel a day at a time. I'm assuming this trip cannot be delayed or rescheduled? The first thing I'd try is to talk to my employer about how much of a hardship this would create. Most employers are becoming family friendly and due to the severe hardship it would cause I would think they would at least allow you to delay the trip if possible until your husband has been at his job for a longer period of time and could either take the days off or go in late.
If that's not an option in any way then you're going to have to hire a babysitter to either show up at your house super early or sleep over. I can't imagine getting a neighbor who has thier own kids to take your for the entire week. If it was one moring they probably would - but a week is very different.
You really need either a college student or a mature retiree type person to be there. I don't think I'd put an ad on Craigs list or anything like that but you have to begin asking around - ask for college students or early retirees who you could pay. You're going to have to pay more than the usual hourly rate since you need them at such an odd hour.
So call the local colleges and your church or temple and ask for suggestions. EVen ask your kids' teachers - young teachers are often underpaid and they may even have an unemployed teacher friend or mom who could do it. If you make it lucrative enough I would think you'd find someone.