A few questions about tools for an entry tech...
It's been awhile since I was a line tech but what I remember NEEDING was a couple of really good ratchets. Maybe a couple in each size for that matter. One straight handle and one with a swivel head, in 1/4" 3/8" and 1/2". I used cheaper sockets like Craftsman but their ratchets wouldn't last a week in a pro shop. Also a drop cord trouble light, a couple different size long reach magnetic pick up tools. If you can find one that flexes and one on a stiff extension you will be happy. A small tip magnetic pick up to clean debris out of a bolt hole. I would also invest in a good set of standard and metric re-thread tools. This to go along with the tap and die set, but these little buggers are easier to use to clean up rusted bolts and bolt holes while putting a job back together. If you didn't already say you had a good set of pry bars, I'd get those to start out too. You will use them every day.
Hope this helps and good luck.