What is the difference between a PvE realm and a PvP realm?

I know there's alot of people that have already asked this question, but they asked them 3 years ago so its not up-to-date. So to get to the point I met these really cool guys in a dungeon and I want to transfer from my PvP server (Altar of Storms) to their PvE server (Aerie Peak<---I think) and I was wondering if there was an actual difference between PvP and PvE. Not like the type of people there, but a difference like 'can you still dual each other' and cool stuff like that. Are the drops better or worse? Please don't write down something like 'people in PvP realms own' because I already know that!!! I'm a pally and I got completely ownd by a same lvl priest, it was plesant... So please answer and if you do then thankyou ;)