First time homeowner & investor

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I have currently put out a few offers on my first home and have a few questions on financing in the future. My intent is to rehab it while I live there then rent it and refinance it and move on to another. The problem I have though is that I can only put 3% down on my first home and after talking to a few underwriters It sounds like it would be extremely difficult to get approved for another loan within a year. How would you guys handle it?