Not sure what you mean by "can we get out of our house" - do you mean can you give the home back to the lender and not be responsible for any more mortgage payments? Or do you mean move out of your home but keep making the mortgage payments?
FHA loans just require you to occupy the home for the first year of the mortgage, after that then you are free to move out of the home without worrying about the lender coming after you for no longer occupying it. However you still need to make the mortgage payments on the home otherwise it'll go into default and you'll eventually be foreclosed on, which will ruin your credit.
If you are being relocated to a new area not within commuting distance of your current home, then that situation would allow you to purchase a home in the new area with FHA financing as well, and you wouldn't be required to sell your old home with FHA financing already on it. In that situation you could even rent out your soon-to-be-vacated home with the FHA mortgage, and use that rental income to help you qualify for the new purchase with an FHA mortgage.
Shane Milne | Lending in all 50 states | NMLS #81195