If you don't have a tool kit mounted on your bike, try putting the tools you need in a work glove. You can strap it somewhere on the bike, stick it in a pocket, or hang it from a belt loop....but the main thing is that you'll have a glove in case you have to work on a hot part while you're out on the road.
(except the head....don't do anything to the head when it's hot)
(except the head....don't do anything to the head when it's hot)