Haven't tried turkey feathers yet, but I do have some just waiting to be used.
Lots of Canada geese living close by, so I've made a bunch of arrows using the local feather supply.
I cut along the quill, carefully, with a craft knife - sometimes more successful than others - then grip the feather in a piece of sign box hinge - leaving the quill part exposed.
Grab yourself a nice new sheet of 60 - 80 grit sandpaper and gently rub in a direction parallel to the quill to remove as much of the inner soft parts, being careful not to go too deep, which is easy to do. This gives you a nice thin area to glue to the shaft. I usually wrap the front edge of the quill with a bit of thin thread and varnish it to prevent the end of the quill catching and lifting.
I have a really fancy
fletching device made from 3 spring clothes pegs and a few bits of wood to align things and use the same piece of hinge mentioned above to hold the fletching straight while I glue it in place - Superglue is best, so you don't have to hold things in place too long.
A good sharp pair of scissors and a bit of care will give acceptable results for shaping.
(I've been in the sign business since the ability to drive a paintbrush was essential so I have access to sign hinge) Go to your local sign shop and see if they have any - lots gets thrown in the recycle bin so you will likely get a couple of bits for free if you ask nicely and tell 'em what you want it for. Most people seem to think archery is kinda cool, even if they don't take part.
Hope this helps.