If you are wanting to be right in Pigeon Forge, stay at Pine Mountain RV Park. You can't beat it for the close vicinity, but off the parkway, so the sound is not quite as loud. The shuttle runs to most campgrounds, but this one is about a mile to Dollywood, 2 blocks to the Old Mill and is easily walking distance to the parkway and restaurants. Others are further away or RIGHT ON the parkway and the sound, up until LATE in the night, is awful.
If you are wanting to get out of the main drag, Anchor Down is great, but extremely pricey. The Douglas Headwater Campground is just across the lake from Anchor Down, has water/electric and a dump, along with decent bath houses. I think their cost is $30/night compared to $65+ at AD.
There are many, many campgrounds - Riverside, Rivers Edge, Clabough's, Misty Meadow, Jellystone, Adventure Bound, Twin Creek and many more. We have stayed at most of them, but Pine Mtn is our favorite IN Pigeon Forge.