A tooth that is severely damaged may need to be removed. A surgeon who specializes in surgeries of the mouth (oral and maxillofacial surgeon) or your dentist can remove a tooth.
Before removing your tooth, your dentist will give you a local anesthetic to numb the area where the tooth will be removed. A stronger, general anesthetic may be used, especially if several or all of your teeth need to be removed. General anesthetic prevents pain in the whole body and will make you sleep through the procedure.
After the tooth is removed, you may need stitches. You can gently bite down on a cotton gauze pad placed over the wound to help stop the bleeding. The removed tooth can be replaced with an implant, a denture, or a bridge. A bridge is a replacement for one or more (but not all) of the teeth and may be permanent or removable.
The process of an extraction essentially involves getting consent, providing home care instructions after the extraction, numbing of the area, removal of the tooth and then cleaning of the area and controlling of bleeding prior to dismissal and prescription of pain/antibiotics as necessary per the doctor.
Not sure what the best dental company is. I'm assuming you don't have a regular dentist. Ask whom your family or friends go to.
It shouldn't hurt to extract but you will feel alot of pressure. If you do hurt, let your dentist know and they should numb you more.