In the past 7 years I have lived in three different states (OH, KY, MI) and four different cities. Each time we moved with children. They were young and were still young when we made out last move from KY back to MI.
The kids adjusted quickly (probably because they were young) and in time, so did my hubby and I. The hardest part was being away from family and friends. Now we are back in MI and back with family which is great...but I would have been happy to stay in KY too.
Best thing you can do is contact the city office of where you will be moving to. I did this when we moved to Lexington and they sent me a whole packet about the city. You can probably find most of the info online. Change your city on THIS site to the one you are moving to and ask some questions. When you get there, explore. Find local libraries, parks, or even a mom's group.
Also, rent before you buy. We did this in each state so that we could get to know neighborhoods well enough to know if buying there would be a smart move. We wanted to make sure the schools were good, as well as the people. We would take little drives all around town at different times of the day just to what was going on. Was it quiet, were there other kids, did people take care of their yards, were people zooming down the street, among other things that we were looking for. The last thing you want is to buy a house and then find out that there is a train behind you, or that it's in an area that floods a lot.
Moving seems scary at first but you get used to it. There are all kinds of websites to help you with packing and moving details.
Just keep reminding yourself that this is a GOOD thing for you and your family.
Good luck and best wishes! Enjoy your new home =)