Do I need to upgrade my branch circuits to CAFCI/GFCI if I move my electrical panel?
Depends if by moving the panel requires replacing any wires.

For example, if you're simply moving the panel up a foot without having to replace wires then no, no GFCI or Arc fault protection required. 

On the other hand, any time a wire is replaced it generally is required to be brought up to code.  This is common rule for not only electrical but all forms of construction.