Charming looks like a small town so if they would rent some houses people would probably know about it. Makes sense. I remeber the FBI once trying to follow someone in a small town. People constantly went to their car and wanted to know who were they.
Why stay in Charming though? If this were 'reality,' the smartest thing they'd do is lose the jackets, dress like normal people, hop in a couple of cars, and get a motel room a good distance away (such as the next state over in either direction) but close enough to get back in a hurry if they really need to.
With the exception of their facial hair, they really wouldn't stand out all that much. But, c'est la vie.