Note:
Check to see if the campground you want allows soft sided trailers, if your trailer is soft sided.
Heavy park road construction (read soft gravel) may be in progress when you go, so inquire when and and what road sections are affected before you leave.
In our experience park sites are booked early early early BUT if you decide to travel standby it doesn't hurt to ask if there are cancellations on the day you arrive. We snagged a few days at Fishing Bridge this way. Base camp at Cody is not a terrible option and drive the 100 miles or so return to the park entrance each day you visit.
YNP is almost 3500 square miles. Distances between viewpoints can be anywhere from 40 miles to 75+ miles so when you're ready to see the sights leave early in the day and plan a lot of driving each day in the park.
Gordon I can't suggest one attraction over any other. YNP's designation as a super volcano makes the entire park a must see, and see it as soon as possible. The wife and I are going back as soon as we can get the time together.
Happy and safe travels.
Yellowstone Park Map PDF