Removing old grips can be done with compressed air (so I've heard).
What I've done, is slide an icepick between the grip and handlebar, then shoot some solvent up there with the little nozzle tube right next to the icepick. (Carb cleaner or something like that) Three times around the bar should do it.
You need to be careful of the right side plastic throttle sleeve, and not damage it. (If memory serves, you cannot just buy a new sleeve, you have to buy the whole assembly.)
Fitting new ones should come with instructions. (I have no idea with the wiring)
I've always used clear RTV sealant on my grips because it gives you plenty of time to get them in proper position and cleanup is easy. Allow 24hr cure. Super Glue (or stuff like that) you have to get them perfect right away, or you're screwed and they lock down tight. And cleanup is a nasty mess.
You put more glue down inside the grip, than on the bar (but do both). As you slide them up the bar, the grips pick up the glue and push it up toward the control housings, and the idea is not to glue the grips to the control housings.
My RTV glued throttle grip begins to loosen after a year or two, and I will repeat the process. The left grip never comes loose.
Golf club grip tape works well for installing grips. The kit comes with a solvent; something like mineral spirits. The solvent activates the glue on the double-sided tape, and makes it slick, which makes installation easy. When the solvent dries the grips stick. It gives you time to position them. You will have to wait some hours before riding.
All that said, if you do what Jess said to remove the grips, you can use the golf grip solvent to inject under the grips to remove them.