I've no real science to back it up, but I come down on the side of "it's ok, pickups will help in your situation..."
I fully agree on everything people are saying about amps, but in my experience taking to BKPs made a difference for me (modellors through studio speakers and headphones, and sometimes guitar straight into a little tranny practice amp). You'll end up researching and buying the amp(s) you want/need further down the line anyway :lol:, but the right BKPs for you and your guitar will help you along in that direction.
BKPs, just like any link in the chain (guitar, strings, pedals, amps, speakers) aren't a magic bullet, but I've found they let your playing breathe more - more of what you put in comes out of whatever kit your using.
So I'm pretty much in agreement with Fourth Feline, especially as you seem to be leaning towards "pickups first". I'd personally suggest doing your favourite guitar, and see where that takes you... :D