Firstly, I really shouldn't call it 'annealing them' - more softening them to make it more pliable when beaten over the door shell.
I take the lips back to bare metal, then lightly rub some liquid soap onto the lips then heat the area (with a Map Gas torch) till the soap goes black.
Then hammer away while they are still warm
Secondly, if they only have a few holes in the old skins, I'd just repair them.
I'd only replace the skins if they are well & truly stuffed.
Thirdly, Pete please change your user-name as it's gotten quite silly now!