I want to get cheek implants and buccal fat removal. What surgery would better be done first?

Both of these procedures can be done in the same surgery. It is usually performed in MAC, twilight anesthesia. In person consultation with a board certified plastic surgeon, familiar with both procedures, is recommended. Good luck.

Your surgeon could do both at the same time, but perhaps it would suit you better to only do one over the other.
Sometimes, removing the buccal fat pads is counterproductive because you might want that youthful volume down the road.
It is common practice to use a combination of these two procedures to achieve contour or definition of the midface.
Custom cheek implants are made specifically for you and thus prevent many of the issues usually related to the more generic implants.
An advantage of custom implants is that you can design them to fit your particular likes and style. A proper consultation is required to know more about your needs.
Before you make such an important decision, please learn more about the differences between standard and custom cheeks implants.
Cheers!