If servicing a Fox is similar to Rock Shox than it would be nice to have a rubber mallet for the fork. Some allen keys, some socket bits to unscrew the top caps. Some degreaser, I used IPA (isopropyl alcohol), bought some on eBay, You can get that in a pharmacy as well. That was what the Rock Shox guy used on Youtube so just got the same. Some rugs and a pan for oil. Obviously You will need an air pump as well.
For the rear shock to just do a quick air can service and change seals You will need a strong grip to unscrew the air can. Apart from that it’s pretty straightforward.
Youtube has loads of guides on how to do this and I find some better than just reading a manual as it will show You exactly how to do it.
If You want to do a seal change than You will need a seal kit for the damper and the fork. Some syringes come handy to measure how much oil You have to put in.
So a list:
Rubber mallet
Allen keys
Spanners + socket bits
Strong grip for the rear shock 😉
Some sort of a cleaner/degreaser (IPA)
Fork Oil
Grease (there should be some fox fluid with the seal kit) but I used Juice lubes grease on all the o rings, worked fine.
Syringe
Clean rugs and some container for the oil.
Shock pump.