You get these itchy burning bubbles on your ankles and hands from tanning what are they?

These are heat blisters. Heat blisters appear before you become burned (as in touching fire, not "sunburned").

Next time, stay in the bed/booth for a shorter period of time, and use a moisturizing tanning lotion. If you use a "tingle" lotion, wait until after you have hit your tanning plateau, as it may cause blistering beforehand.

In the mean time, you can treat them with regular Aloe; the kind that comes in a big bottle of green gel. It will keep the itching from bothering you too much, and hydrate your burned skin.