I'll normally tack the covering on, on one side, then heat and stretch it so it conforms to the edge of the surface, making sure that it covers well over 70% of the circular edge form... what you call the "ends/curves".

Then using a NEW sharp knife I'll cut the excess covering, and heat down what remains. This leaves most of the edge covered from the first side, but typically not fully covered.

After this I'll approach the other side in a similiar manner. However when I trim the excess cover I'll trim it back BEFORE heating the edge fully down, so that it covers about 50-60% of the edge.

This final set of cuts is what will determine how clean everything will look so I'll cut carefully and cleanly.

The remaining lip or tab then gets heated and smoothed into place.

Now I have both sides covered each with one large sheet. I'll then finalize and tighten the surfaces, alternating between the sides as much as possible to prevent warping...