I just recently finished my Flight Physical for my WOFT packet.
First I had to do MEPS which was just a regular physical. I then had to go to a base that had a flight surgeon so I could do my flight physical. The closest base to me was 10 hours away and I had to go on 2 separate occasions. For me there was a flight physical part 1 and part 2. Those were spaced about a month apart because they wouldn't schedule the second part until results were back from part 1.
If you want a full walkthrough of everything I have had to do feel free to send me a private message.
I will tell you everything takes longer than you expect.