I get my health care from the VA and once you have a primary care physician, they can oversee all your health needs. They do refer to specialists in the VA system and in certain cases they can send you to an outside physician if necessary.
If for any reason you are not satisfied with your primary care physician, you can request a a different provider. Transgender care is new to the VA and they are still learning how to best manage care for people with our condition.
You can expect counseling, lab tests, hormone therapy and voice training at almost all VA Hospitals. Some VA Hospitals offer additional services, such as laser therapy. I have seen surgery performed on patients who have had service connected genital injuries. The surgery was to restore the original organs, not transgender surgeries.
I do not know if any VA will do any facial surgery or a mastectomy for transgender purposes. I do not know of any VA Hospitals offering electrolysis.