To change (or reset) bevels you would want a file. Ideally, you would want to start with something coarse and then move to progressively finer files. You can certainly start with something fine, but it will require more work and more wear and tear on the file. I generally start with a panzer file, then go mill-bastard, second-cut, and smooth file. I use the second cut and smooth files for maintenance.
Trying to set your bevels with a travel-size hand-tool might be a bit much. As a start, I'd recommend purchasing a second cut file. It will require a bit of extra work to actually set bevels, but it will get the job done and it is a good file for maintenance.
Here is really what you need for basic tuning:
1. File guide (2 or 3 degree depending on preference)
2. Spring clamp
3. Second cut file
4. sidewall cutter
5. 600 grit diamond stone
6. ceramic stone (diamond stones soften the edge, so you use ceramics to harden them back up)
7. Rubber bands to clamp your ski brakes
8. Steel Scraper
9. P-Tex candles
10. Waxing iron
11. Plastic scraper
12. Hard nylon brush (rectangular is fine, but oval is nicer)
13. All temperature hydrocarbon wax
14. Vise
15. Base Beast (1 degree or .5 degree depending on preference) -- kind of optional since you shouldn't touch your base edges for the most part, but it is helpful for fixing rock damage.
The above represents a pretty solid tuning kit that will allow you to keep your skis well maintained. Many of us have more extensive kits, but that would be a very good start. It is a bit of an investment, but when you consider that shop tunes will usually cost $40-$60 and beyond, it will pay for itself in a hurry. If you are serious about your skiing, well tuned skis are a must and tuning them yourself is the only economical option.
Lots of good places to order from, here are a couple of shops I frequent.
http://www.artechski.com/#gsc.tab=0http://www.slidewright.com/