If you have enough tools to work on dirt bikes you are totally set already. Some Fender-style instruments benefit from a long Allen Wrench for the truss rod, but even that is not required.
If we are talking priority, the order I would buy things in is:
Required:
- Tuner
- Allen wrenches fitting truss rod and bridge saddles
- Phillips Screwdriver fitting pickup height screws and intonation screws on the back of the bridge
Optional but nice (in order):
- Capo (you hold down the first fret a lot)
- Ruler with fine gradations going right to the edge. Actually this MusicNomad tool is a good buy, as someday you might need a fret rocker.
- Sandpaper and small round diamond files if you ever need to adjust nut height.
The very very optional:
- Nail buffers to polish frets (if you care. Yes, ladies’ high grit nail care buffers work great for this.)
- Fret end dressing files, if you get fret sprout.
- Fret rocker and crowning file, if you ever need to do fret work.
Things I have never used:
- Feeler gauges
- premium nut files (perhaps the least necessary of all, small diamond files work fine)
The two best videos for simple, basic setups: