Welcome to the shire society forum!
What are you looking for in the city or town you will move to? There is an abundance of options from places like Keene, Manchester, and Portsmouth which are more developed areas all the way to the small towns of the north country like Grafton.
Also being form Illinois the winters shouldn't bother you much, or perhaps like me you will find the snowy outdoors to be quite enjoyable for ice fishing, skiing, and other cold nosed activities.
Good luck in your endeavors,