Financial lenders after purchase of property

Hi everyone, 

This is my first post. I am starting my real estate ambitions in Rhode Island. I was considering strategies for finding my second rental property without refinancing out of my FHA. My best idea so far is to buy a property not as expensive between 40k and 60k and fix it up using financial credit. Are there other options? Are there type of lenders who will fund a project such as this after the purchase is completed?