Above all, use a drill press for installing liners.
The liner calls for a certain tap drill, but DON'T just use this drill. It will drill oversized.
Start with a center punch, a combined drill and countersink, then a pilot hole, then a size smaller than the tap drill. This leaves a very small amount for the tap drill to cut, and will give you a better size.
I put the tap in the drill chuck, bring it down to contact the work, then I turn the chuck by hand as far as I can. This starts the tap nice and straight. Finish with a tap wrench.