There are many things to consider when choosing an RV campground for your trip. The main difference to consider is what kind of amenities and accommodations a campground offers.
Dry camping means that the park offers no hookups or utilities for your RV. You basically just take your RV to the site and camp in it. This is good for people who like camping with just the basics.
Primitive is a step up from dry camping. Primitive campgrounds don't have any hookups, but they do have a water source. Showers may also be available. One step up from this is a campground that also offers electricity.
A campground with full hookup offers sewer, electricity, and water at the site. Some may even offer WiFi. This is good for people who don't like the bare bones approach of dry camping.
Once you have an idea of what type of RV camping you want to do, a quick Internet search will find options in the location of your choosing. There are many RV club websites and RV camping directories on the web to help you find what you are looking for in a campground.