If you own a home, you're still free provided the possible rent from the property exceeds the expenses (probable these days unless you're stupid and overpay). If you need to pick up and move, you can rent out the place.

Ideal situation would be a mortgage that allows for conversion to an investment property even if you have to pay a slightly higher rate, but one could always go under the table and just forward their mail/bills without officially changing address with the mortgage co.