Here's my take on this.

First, yes, and FG bike is the way to go for you. I have a FG bike as a second bike, and short of getting a flat or breaking a chain, there really isn't much that could possibly go wrong with it.

There's three main avenues you could go:

1: Run-of-the-mill FG bikes (see Pure Fix, State Bicycle, etc. Decent bikes, decent support, decent price (~$500). You could always go with a cheaper bikes direct bike, but why when you're $100 away from a more reputable bike?

2: Go budget beater, which is what I did. I wanted to try FG on a budget. I'd already bought an old Trek 420 steel 8-speed (I think) road bike for $100 but discovered I really don't like downtube shifters. So I converted it to FG for $80, and frankly I love it. Great, smooth ride and great handling. There's plenty of decent steel road bikes out there that can be purchased for cheap and converted to FG. And in the end, you'll likely have a better overall bike than the typical run-of-the-mill hipster fixie.

3: Go high-end, which really isn't all that expensive. On my drool sheet is Wabi Cycles. Road-specific geometry, high quality steel, high quality craftsmanship, starting at marginally more than the run-of-the-mill hipster fixie at $750. I have no affiliation with them, and haven't bought from them yet, but all the (limited) reviews I've found have been positively glowing.