Welcome to PA, flatnickle.
In relatively dry conditions it only takes a few fays for sinews to dry. When the sinew bundles become amber and translucent they can be pounded and pulled apart into strands. I believe you can do it green also but I haven't tried that yet.
I prefer to use hide glue for applying sinew to a bow. After the sinew is separated I wash it in warm water with detergent(Dawn for me) and rinse well and separate into workable bundles and place them conveniently aside. I also scrub the bow's back with Dawn and rinse with boiling water. This not only removes and wood oils but also finger prints but sets up the wood and sinew for accepting the moisture so the warm glue will adhere to the wood and saturate the sinew. Be sure to squeegee out the excess glue with your fingers before laying it down. You don't want too much glue. Also have a bowl of warm water and towels handy to remove glue from your fingers as you work. Have everything ready and close at hand so the process goes smoothly. I use a double boiler(old crock pot, for keeping the sinew warm while working with it. I like to back string the bow some, maybe a few inches and clamped so I can work with everything easily. I first add a few sizing coats of warm glue letting each gel well before adding the next. Never add too much glue at one time. Starting at the handle I lay the sinew down the center of the limb going down both limbs. Be sure to cross the handle with the sinew backing. Then I work another layer along both sides the first and continue on until the limbs are covered. No need to add sinew to the last 6" or so of the limb tips. They are nonworking and the sinew isn't necessary there and will just add excess physical weight. Some folks go over the tips and then wrap them. I haven't found that necessary.
After a few days the sinew will dry enough for you to see how well the coverage is. At this point I fill in the gap with more sinew and let that dry for a day or 2 and check the coverage again. I do wrap the wet sinew backed bow with strips of old bed sheets or gauze for an hour or two after applying to help smooth the sinew out but remove it before it dries. After everything is done I let the sinewed bow dry leaving it in reflex as it dries. When the string gets slack, as it will I tighten it a bit and let it dry more. I let it dry for a month before straining the bow any. It will continue to dry and cure for quite a while after that but I think it is safe to go on in the process, tillering, etc. once you get to this point.
This is the way I do it. Others will have similar but different processes.
Good luck
