How can I curb dizziness from tmj?

A few things. If the dizziness is related to TMJ: Self treat with soft diet, jaw exercises, massage, heat/cold, OTC pain meds. A splint or physical therapy would be next. Occasionally muscle relaxants, biofeedback. Xrays are done for diagnosis. Surgery usually reserved for serious symptoms not responsive to other treatments.
Vestibulitis. Treatment for chronic vestibular problems is mainly physical therapy. If imbalanced, consider using a cane or walking stick. Sometimes medications will improve symptoms. Low dose diazepam (valium) seems to work the best. This tends to work better than Meclizine (antivert). This problem should be followed by an ent.
Jaw precautions. Soft diet, antiinflammatories, ice 20 min 3 to 4 times a day, see your dentist for an nti mouth guard. You might also need medication. On occasion physical therapy can also help.
Control the symptoms. With respect to other colleagues I do believe strongly that issues with the jaw can lead to dizziness. The muscles that move the jaw have two small cousins that live in the middle ear. These muscles are there to protect the ear against loud sounds. Sometimes these muscles can tighten when they shouldn't and this can cause eat symptoms such as vertigo, ear fullness and hearing change.
ENT. I would see an ENT doctor. Normally dizziness is not typically a symptom of tmj/tmd. Could be an inner ear issue or some other ailment. I am not ruling out tmd, but would exhaust other avenues first.