It's not too hard if you can already adjust the two derailleurs to shift properly. Even then it's not *hard* per se, but may take a little while on you tube and trial and error to get right.
You probably won't need to swap over the brake levers unless they are one piece with the shifters (which I think is rare for gripshifters).
Bear in mind you may not be able to re-use the shifter cables as some gripshifters are a PITA to get the cable out of (I should really replace the cables on the gripshifters on my MTB but can't work out how to swap the cables over!).
One other thing to check is you get shifters with the right cable pull for the derailleur. Generally any shimano shifter will work with shimano derailleurs, and SRAM with SRAM. Third party shifters eg microshift are also fine in my experience, but make sure you check which one they're designed to work with.
Ebay is often a good source for inexpensive 2nd hand 8 speed MTB shifters, there's not much to go wrong with them so if they don't look too battered they should be fine.
Loads of knowledgeable and helpful people on here so if you get stuck, just ask!