How much to build a bike?

well it would be fitting bb and headset
Borrow a tool, a hammer and a plank of wood

running a die down the forks and fitting them
is this necessary?

wrapping the bars
Fun part

fitting crank and downtube shifters, front mech, seatpost, and cables
you should really be doing these yourself- not difficult and will add to your knowledge

No, I have never wrapped bars, it's my first road build and I don't want to make a pigs ear of it
Give it a go, Bartape can be as cheap as a fiver for two rolls and you'll never have to pay for it to be done by your LBS (because you will certainly need to replace it soon enough).

Good luck though, enjoy it