Welcome to the forum!
I agree with donn0128. Good advice from him.
Have you looked at a pop-up for a first camper? We have a fifth wheel now, but when we were younger, and the kids went with us, we LOVED the pop up. It was more like "real" camping. A pop up is easy to tow and doesn't cost much gas mileage. An average size pop up should be fine with your Suburban. In North Carolina you will need one with an air conditioner.
Look at the RV shows, but it's not necessary to buy there. You can get the same "deal" anytime. Looking for a used unit is a good idea, just do your homework and know what to watch out for - like soft floors/roofs caused by water damage.
Good luck.