Roof rats tend to stay higher up; meaning your attic space or rafters. Like most rodents, they can chew through a number of different construction materials to gain entry into your home, shop, garage, or shed.
Norway rats are bigger, and more aggressive than roof rats. They are more commonly found and can choose to live in your attic or crawlspace. Norway rats are actually very effective diggers as well, so they can also tunnel into your crawlspace.
Having a house mouse is pretty common, however a pain to deal with. They can get into some TINY areas which can prove to be difficult to find. They are, however, easier to catch most times and can usually be easily managed.
Rodents can be extremely difficult to remove. Rats can be neophobic, meaning wary or scared of new things in their environment; making trapping and removal more difficult and take longer. They are effective at finding openings or weak points in your structure and gaining entry into some of the most inconspicuous areas. Mice are a little easier to trap, however they are able to get into some super tiny areas. That can make exclusion all the more difficult and the process can take a bit longer. Don't stress yourself out with the process, and leave it to the professionals!