What's the best way to get a tick off your body after it has buried its self under your skin?

Pull up w/tweezers. 1/use fine-tip tweezers. Grasp tick closest as possible to skin. 2/pull upward steadily. Don't yank or twist. If mouth parts break off, remove mouth parts. If you can't, leave alone [don't dig] and let yourself heal. 3/clean area with soap and water, rubbing alcohol, or iodine scrub.
Pull straight out. Grasp the tick as close to your skin as possible with tweezers. While holding firmly, pull straight out (no twisting or corkscrewing!), and the tick will release with a 'pop'. Keep the tick for subsequent identification and testing (store in a plastic bag with a moist cottonball). If you live in an area with any lyme risk the local county lab should offer testing.