It's not too rude at all, I'm more than happy to help! I did see your personal message, but I haven't earned my stripes yet so if you don't mind I'll reply here (plus maybe others could find it useful too).
So far I've had two appointments, one with the psychiatry assessor person and another with the endocrinologist (who I really wish someone had warned me was a complete robot, would have saved a lot of stress), which cost £200 and £220 respectively, plus travel obviously to London for the first and Enfield for the second. I will need follow up appointments with each in 3 months for the psychiatrist and 6 months for the endocrinologist to see how I've responded to the low dose hormones and then (hopefully) to move onto the proper full feminising ones, but those appointments are about half the cost of the first ones (for roughly half the time, if only there was a connection somewhere...). Speaking of which the 3 month supply that I was prescribed cost just under £13, even with the fact that I have to pay full price because they were privately prescribed.
I was advised to notify my GP, but that conversation was about as long as 'I'm transitioning with a private clinic', 'Great, keep us informed', so that was that.
Of course if you have any other questions it's no trouble, but there is about a 3/4 month waiting list for the psychiatrist and 6/7 month one for the endocrinologist, so there is time to save up whilst waiting for the appointments.
Hope that helps,
Lily