Which acupoints should be selected for acupuncture and moxibustion to treat hypertension vertigo caused by hyperactivity of liver yang?

The symptoms you mentioned should be treated with acupuncture as follows.

Nourishing yin and reducing fire, calming the liver and suppressing yang, only acupuncture without moxibustion, purging acupuncture.

Acupoints: Baihui, Quchi, Hegu, Taichong, Sanyinjiao, Fengchi and Interlayer.

You can also use ear acupuncture for treatment.

Take hypotensive groove, adrenal gland, ear tip, sympathetic nerve, Shenmen, and heart meridian, and choose 3-4 acupoints at a time, acupuncture or catgut embedding, or seed adhesion with Vaccaria seed. If your blood pressure is too high, you can also puncture and bleed at the hypotensive groove and the tip of your ear.