Based on the Marvel Previews #7, March for May 2016, I'd say you need to pre-order the following books in order to keep up with Spider-Man.
Amazing Spider-Man #12
Marvel Universe Ultimate Spider-Man: Contest Of Champions #3
Spider-Man #4
Spider-Man & Silk: The Spider(Fly) Effect #3 (Of 4)
Spider-Man 2099 #10
Spider-Man/Deadpool #5
Spidey #6
Web Warriors #7
Reprints
Amazing Spider-Man Omnibus Vol. 2 HC (New Printing)
Carnage Classic TPB
Doctor Strange Omnibus Vol. 1 HC
Spider-Man: Tombstone Vol. 1 TPB
Spidey: All-New Marvel Treasury Edition Vol. 1