if you have never tapped anything before just be careful that you dont let the chips build up in the tap flutes/below the tap
there are two general kinds of taps; gun taps and spiral fluted taps
gun taps will push the chip below the tap, useful when tapping through holes where you have the help of gravity in clearing chips out of the hole, they are also somewhat stronger than spiral taps because they usually come in a two flute style in the sizes you are looking for
spiral taps will push the chip above the tap (or out of the top of the hole) as you tap, this is useful when tapping blind holes (non-through holes) so that the chips dont have the opportunity to build up in the way of the tap. They are weaker than gun taps but have a solid place in the industry for a reason.
also be very careful with that 6-32, they are notorious for breaking as a 32 pitch in that small of a diameter is relatively coarse, you are relying on a smaller diameter tap to remove more material essentially. We usually dont even allow our designers to incorporate 6-32 threads into a design unless absolutely necessary. Even drilling one size oversize those taps can be a PITA for any small production run.
you probably wont have any problems, just take them slow and if you feel the chips building up just remove the tap, clear the chips and go back in until the hole is done.
CNC Programmer/Machinist
Polarstar Engineering and Machine