Be very careful with the tap. They are very brittle and break easy. They can handle some torque but don't apply any off-center force. Go in a little, back it out, in a little more, etc. Use some light oil. Blow the chips out if you have compressed air. Take your time - if you break it you will become upset.
By the way, there are different kinds of taps - some have a long taper to make them easy to start, but they won't tap all the way to the bottom of the hole. "Bottoming taps" will tap closer to the bottom of the hole but are harder to start.
If the threads are stripped, you can probably install a Heli-coil or other kind of insert. Not a huge deal, but you might want some help if you've never done one before.