You need first to decide which sort of FHA construction loan you need:
- A Construction-Permanent Mortgage: You might need one of these if you're buying a fresh site, and want to build (or have contractors build) a new home from scratch.
- A 203(k) Rehab Mortgage: One of these might suit you if you're buying or refinancing an existing home that requires repair, modernization, or even rebuilding. These come in two flavors, but more about those later.
Both types of FHA construction loan add layers of complexity that many lenders don't like. In particular, construction-permanent mortgages are relatively rare, and loan officers have been known to deny they even exist. Whether that's because they really haven't heard of them or just prefer to avoid them depends on the individual.
Either way, finding a lender willing to offer one may prove challenging. But, as with most things in life, perseverance (probably) pays.