A good easy home remedy for getting rid of tonsil stones is to gargle with salt water.
The salt water when gargled helps to dislodge the tonsil stones naturally without any need to go to the doctor.
You might need to gargle with the salt water a few times before it helps but when I've had tonsil stones the salt water gargling helped dislodge the tonsil stones without any issue.
Dissolve 1/2 teaspoon of salt in 8 ounces of warm water and then gargle for a few minutes or as long as possible.
Gargling or swishing around some non alcoholic mouthwash can also help dislodge the tonsil stones.
Most cases of tonsil stones require no medical treatment to remove but larger tonsil stones will require you to see a doctor so that the doctor can remove the larger tonsil stones.
Smaller tonsil stones though can usually be removed with the gargling of the warm salt water and or the mouthwash.