Fletching jig, glue and your choice of vanes or feathers. I always - repeat, ALWAYS - replace my nocks when I refletch. Believe it or not, nocks do get worn out.

Other gear you should already have around the house. A semi-dull knife to scrape off old glue. Denatured alcohol or acetone to clean the shafts - although 5 shot says to avoid acetone and use a solution of water and baking soda for cleaning carbons. I gotta try that. I keep a straight pin handy because sometimes the glue gets dried up in the spout and the pin is for cleaning it out. Sometimes I use some 000 steel wool to prep the fletching area on new shafts. Steal some paper towels from the kitchen. A couple of good cold beverages. You should be good to go.

I haven't tried an arrow straightener on ACC's but it should work like a champ. You're straightening the aluminum core, not the carbon itself.