The sequence does not matter, but I would advise to get started with f/stop timing. Once you get over the initial hurdle of learning it, it makes the whole process of dodging and burning a lot simpler. What is more important, it makes it also more consistent. Pretty soon you'll get a feel for the effect of a, let's a say, 1/3 stop burn, and you'll know how to apply it and where or when it is needed. Talking about a 2s edge burn has no meaning unless you know the base exposure time. However, talking about a 1/3 stop edge burn describes the effect consistently, regardless of base exposure time. Try it. You won't regret it!
Ralph is right about f-stop timing. I started this on his advice (from his book) and it has given me a lot more control in the printing process. We think in f-stops for exposure. If for some reason I need to change the overall parameters of the print, the relationship between the base print and all the other steps remains the same.
And no, I don't get anything for promoting his excellent book.
"The beauty and profundity of God is more real than any mere calculation"