I mean, don't let them out at all for the first couple of weeks. If you let them out in the day, they will return to the run that they know as "home".
If you let them free range completely, they will continue to return to the run as it is home. Also you will eventually lose all of them to...
Yes. I recommend putting some distance from where they are now but you will need to put them in at night for awhile until they learn where their new home is. You may want to lock them in for several weeks after you move their coop so they can learn where "home" is.