Your first trailer will not be your last. You say you want to park it a destination campground in the future but how far out in the future? Are you going to pull it to places while the kids are young like the Grand Canyon and Yellowstone and Mt. Rushmore, you know , long trips cross country?
You will find that by taking longer trips and really using your trailer if it suits your lifestyle to the point of parking it for long term use. Floorplan is critical to function and how YOU use it. we started RVing in 2012 and are on our 3rd trailer. We like this one, finally.
Your truck will handle towing a trailer in the 5000lb empty range but the payload number is the one to watch as others said. I pulled a 6500lb trailer with my Chevy 1500 just fine.....most of the time. I did tow an 8000lb trailer for a friend and it was a struggle with my 1500. Get the best hitch you can afford. Equal-I-Zer is a good one for fair money. Make sure you size it for the heaviest tongue weight possible for your combo. A 1000/10,000 should do it for you but you might consider a 1200/12,000 if the tongue weight is anywhere near 1000lbs.