I said take it to a shop out of experience. When I was young and was made out of steel, I tried to change gears in a 1946 British Ford. I did it, but it raised hell when I drove the car. I didn't know anything about shims and such.
Yes, given time and enough patience, you could most likely do it and it would turn out great. That is, if you have a good sized shop with a strong workbench with a massive vice and all the tools that are listed.
Good luck with whatever you decide to do.
My 21 year old Nephew brought his 02 GT to my shop and a brand new 4:11 gear and through his white teeth said, "hey uncle, can I get you to put this gear in my rear?" I took the gear and placed it in his butt, and told him to take it to a shop.