You "sound" great on paper...shouldn't have any problem. But...why go FHA at all? With your numbers, you can also consider conventional, which may make your offer more attractive to the seller. (Is this a condo?).
You of course, need to talk with a lender, to obtain your pre-approval letter to submit with your offer. One of my "go-to" lenders is Jin Hee, with Prospect Mortgage (213-300-0618)...she will welcome your call and be happy to answer any questions.
And, by the way...where is your sharp-shooter Buyer's Agent? Don't tell me that you're being represented by the same agent that is representing the Seller...?! Don't do that. Work your buying strategy out with your OWN representation, a Buyer's Agent that reps only your interests. Not the seller's agent, who will tell the seller every word that you say about your situation...as they are contractually bound to do.
Call me if you want to ask any further questions. And best of luck buying your first home!
Keller Williams Los Angeles
DRE# 01877738... more