Difference between FHA and conventional mortgage? Which is better for me?

We qualify for $150,000 loan, we are putting $20-$25,000 down. We will be buying a home with a city grant of $20,000. Gosh, I thought this was supposed to be fun, but its a headache. Lol.
Update: Well, it's not free money without stipulations. In accepting the money, I have to live there for 20 years.
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