Air Cutter and Steel Wing are really good moves for Skarmory (Air Cutter > Aerial Ace for critical hits). You might want to change Peck and Fury Attack for something else like Night Slash and Slash.

If you're trying to make your Skarmory specialize in Physical moves avoid training it with Pokemon whose Special Attack is their highest stat (Like Alakazam, Empoleon, Cherrim, etc). If you do defeat Pokemon like those your Skarmory's Special Attack will grow higher instead of its other stats that could use the boost more like Attack or Defense. If you want to fix this use the Hondew Berry. If you want to give a certain stat a boost face Pokemon whose highest stat is the one you want to raise (eg: Machamp for Attack, Golem for Defense, Floatzel for Speed). This will not work for all Pokemon (eg: Yanmega, Shedinja) as they will help raise different stats.

Also, disregard the movesets posted on most sites as they are only for online battling (you can't expect to make much use of Haze or Rapid Spin facing only people within the game).