You kinda gotta figure out what will fit in your atty. For instance, I have a TOBH. It's kinda narrow, but really deep, so I go with a larger inner diameter (3 mm), so I can do fewer wraps, therefore making it shorter.
That being said, there's an excellent calculator for coil wrapping by Steam. Google it, and bookmark it.
Since most of my coils are 3mm, I use the mandrel from a Dremel. I like it because it has that larger base that you can hold the coil against. Same goes for the precision screw drivers. I believe the largest phillips head in a precision set is about 2.5 mm. I also have a coiling jig, which is pretty good for wrapping, but kinda sucks for holding the shape of the coil while I install it.
Be patient with yourself. You're gonna kill a few coils before you get it right.
Yeah, and what novamatt said. YouTube is your friend.
Good luck