I would try to build up good credit with a local bank. By taking out smallish loans and paying them back. You can use the 5000 dollars as collateral.

You have the answer- a secured Visa/Mastercard- Use no more than 30% of your limit- don’t pay late- pay more than minimum payment but don’t pay it off each month. After 6 months they will usually increase your limit. When paying rent- pay by check- the mortgage company is going to want proof of on time rent for 24 months. A handwritten receipt does not work (anyone can write their own receipt). FHA will also let you use non-traditional credit such as light bill- cable bill- etc if you don’t have enough credit. Just make sure you have at least a year of that (with everything in your name). Put the $5000.00 in savings now & keep it there. You will need 3.5% down for FHA. No bad credit allowed after the bankruptcy so make sure of that. Good luck! You will need a 620 credit score most likely.