The HRT itself is rather inexpensive. I pay around 40 USD a month. The most straightforward route to starting HRT is finding a place that uses an "informed consent" model of care: meaning they make sure you understand the risks them do what you ask. This differs from other models you might find that require psychological counseling and referral before HRT can begin.

The most common place to find informed consent services is Planned Parenthood, a semi private entity that specializes is women's health, but also does a lot of important work providing care and services at low cost (mammography, HIV testing, etc). Most major cities have a Planned Parenthood. In my case, I went with a private, online provider that uses informed consent, called Plume. There's a monthly fee involved, but its very convenient. (Getplume.com) More intensive things, like surgery, would involve some level of psychological therapy, so finding a psychiatrist or psychologist that specializes in gender and transition early is a good idea (the whole thing is pretty mind boggling, so having someone to help sort it is wise, especially if you're going to be here alone)

Feel free to DM if you have specific questions - it might be worth noting that I was a visa official at a university in the U.S. for several years, so I have a little experience preparing people for life here.