I've been camping at Burrells Ford since I was a small child. During peak season (summer, Spring Break) it will be slightly crowded, but there's usually still room to camp and it doesn't normally get rowdy or loud. Fishing will of course be inhibited when it's crowded, but otherwise its a good spot to fish. 

Pit toilets are fairly well maintained and the sites are almost always clean and free of debris. Camp sites are a short walk down a clear road from the main parking area for those who prefer to carry things in or those who have visitors to their campsite. 

If there has been a lot of camper traffic, it will be difficult to find firewood. Firewood is available to purchase all along the road on the way to Burrells Ford from individuals and stores. 

The other side of the river is a much rougher trail, not an official campsite at all. However, there are some areas that other campers have cleared out for camping if you don't mind a more strenuous and brushy hike in to your camping area and you prefer a little more privacy and seclusion. Just be sure to follow local regulations for camping in these areas as far as cleanliness, fire safety, and distance from the water.