My favorite kind of tent is a hammock tent. With a hammock tent you don't have to remove any rocks or sticks before you setup the tent because the hammock tent is suspended above the ground between two trees which makes for a nice comfy sleep! Other kinds of tents are usually more affordable than hammock tents and may be what you're looking for. For non-hammock tents you can get a propane heater for fall, winter and early spring so you can camp year round and stay warm.
WARNING: If you are camping during the winter be careful with your propane heater, if it starts snowing while you are asleep it can be particularly dangerous for the following reason: Falling snow can melt on the tent and form ice which blocks out the tents natural flow of air, when that happens the propane heater will burn up all your oxygen and possibly suffocate you in your sleep. I know a man who died that way. Always watch the forecast for your area before camping in the winter with a propane heater. (unless of you are in a camper trailer, then you'll likely be OK)
The other way you can camp is inside a camper trailer. Camper trailers require that you have a truck to pull them or place on the truck bed. Camper trailers are good at keeping you safe from large animals, such as bears and moose. Another advantage of camping trailers is that you can stay warm and go camping during the winter by using its built in heater, or a portable propane heater. Another advantage of a camper trailer is that you will have access to a toilet! (no more squatting to do a number 2! )
If you're a hardcore outdoors person or if you are stranded in the outdoors there are still other camping shelters you can make out of the materials in the forest! For shelters of that type you can find information on Google under the search terms “Wilderness Survival Shelters” or simply find what you are looking for in the Boy Scout handbook.