I see you're "new" so I'll let it go without punishment this time but never use the words "hit the ground running" on any motorcycle forum! Not what we want to read!
Now as to your question: I'd buy a a Craftsman tool set if you still have a K-Mart or Sears nearby.
Before buying any tools you should make sure you have all the proper riding gear. Gear comes before tools.
Some guys really like to work on their bikes. I bought mine to ride. If I wanted to work on one, I'd get one of those Chinese off brands or a Harley.
KLR's run about as good as they're ever going to right out of the box. There's always a "mod" that you could do but I found that the effort wasn't worth the result. After hours in the garage I'd really like to feel an improvement, not just a "I think it feels better" result so I didn't feel like the whole afternoon was wasted.
The only "mod" I really "felt" was switching to LED's so I could run heated gear. Throw on a few relays, Oxford heated grips, some wiring and plug in the heated gear. Now that you'll feel.
You also may want to look at "Evaporative Cooling Vests"
Also I like to add some LED lighting to the bike just to be seen. One bulb in the rear and none on the sides seems dark to me. I don't add the color changing stuff that imitates an animal trying to attract a mate. Just amber and reds so I might be seen. My trunk has 2 red markers on the sides and 4 extra brake lights on the rear. It plugs in with a trailer plug so I can remove it.
I'm also a fan of brake light modulators. There's one on Ebay all the time for 2 bucks that I keep in "stock" for bikes we buy. It's a GS-100. Buy the 2 wire version. There's some on there with a blue wire in the picture that I don't know what that blue wire is for. I just use the two reds and ground both blacks. NOTE: You may want to check it they're legal where you ride and add a bypass switch so you can switch it back stock if the cops point their guns at you.
OH! Solder all wiring! Crimp connectors suck. Also use heat shrink tubing. After all it's a brake light. It needs to work.
May the force be with you.
PS: I almost forgot. I will give a thumbs up to the 14 tooth. If freeway is not your thing, the 14 tooth lights the bike up.