You likely would not be approved for conventional financing but would need a substantial down payment to get a portfolio loan. You may want to consider renting for now. You won't be able to qualify for a mortgage unless you can show that you have a job in your new location. If you wish to be self employed, lenders would need a 2 year history of income from that before you could qualify.
Poor credit is the main issue. Until your credit is repaired, you'll have trouble getting financing so I would concentrate on increasing your credit scores to at least 640 before trying to buy a home. Also, if you plan to buy or start a new business, you'll have to have filed two years tax returns as a self employed business owner before you can use that income.
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