Neither are good options....but your decision comes down to much more information than you have provided here. There are programs and options for people in financial trouble today that are aimed to avoid drastic measures like these.
Consider meeting with a real estate attorney that can advise you based on all the facts and available options.
While trying to provide you with any form of guidance it is most difficult for those that haven't enough to even live on. Most often I would recommend that you work toward trying to short sale the house and try qualifying for the Housing Affordability Foreclosure Alternative (HAFA). program. They will give those qualified for the program a relocation fee of usually $3000. You may try looking for rooms to rent as an option. Unfortunately at some point your lender will foreclose and you will probably end up with nothing. So do try the short sale route... more