Stefan's suggestion on how to discharge w/ resistor, etc., is a good one. The RC discharge/decay will have a time constant of R*C, so if you have a 10kohm R, that would be about 0.2 seconds. Give it 5 time constants to discharge 99% of the energy. If you wind up with a different resistor value than 10k, recompute the time constant and multiply by five. It's still good to check the voltage after you've made each discharge attempt since it's sometimes hard to be confident you've made a solid connection.
A few HV safety tips can be found here. If you're nervous (hand shaky, it's ok, mine do), wear rubber gloves, like the kind for washing dishes. And tape the wires down to some insulating material so they don't squirm.
The energy on the capacitor is 0.5*C*V^2. Even at full charge this is only 2.5 Joules. It would hurt but would probably only get you in trouble if you had a heart condition and applied the leads across your chest, or if you held one lead in your right hand and the other in your left. (Don't do that!)
Regarding the repair job, it should be fine to strip/solder/heatshrink.