This must depend on where you are and what your health service demands.
I would have loved to have done this, but for me, access to treatment (in the UK, but partly private to avoid waiting lists) was dependent on everything outward including name change being done first. There was no way I could've just had a little tester period of HRT to see how it went. I asked. I read that a lot of people were able to access this option.
Ideally I could've just merged into the new at an undefined point, which is what I had hoped would happen. In a strange way, I wish the SRS came first, because it's both the most and the least, if you know what I mean. I know that my personality and psychology deals well with big things, and adapts to fit. Whereas this, to me, is backwards and more brutal than it needs to be.
Maybe that's a good thing. I understand it, I just don't like it. I guess I could've shopped around in a 'customer is always right' way, seeing as I'm largely paying for it myself, but that seems kind of aggressive.
There are a few things I've learned and had to take back to my private doctor however - I was told that the NHS does not pay for fertility preservation, and given the details of a private clinic at a cost of a couple of thousand. In the great postcode lottery of UK public healthcare, it turns out, my local health board does indeed pay for it, along with ten years storage, and two rounds of IVF.
If I was a cynical person, I might assume that private practitioners are earning kick backs for referrals between each other that the person doesn't actually need. ive read on here that other NHS boards cover hair removal. Mine doesn't, unfortunately, so I have to pay privately to listen to two hours of anti Semitic trash per week, and you can't really argue with someone bearing a needle towards your tensed lower face.
I could change electrolygist, but mine has great prices, and 'yeah, alright Adolf' under your breath doesn't require any muscle movement with an English accent.