I've been to therapists (for HRT) for a few appointments, then canceled, then went back, then canceled again over the last year alone. I'm finally certain about who I am, and plan on going back in March. I have a tendency to rush into things pretty badly, so, trust me when I say BABY STEPS are the way to go. About a thousand dollars down the tubes when I did the previous.
In my opinion, you shouldn't immediately rush into transitioning, and I personally think it's best to wait until you're OUT to folks and your friends/family have reacted, come to terms with, and mostly adjusted before you start seeing any kind of therapist for transition. Note that the previous cycle will NOT always be positive. Sometimes it can be a negative reaction, coming to terms with the fact that they can't change you, and adjusting the best they possibly can. Not saying your parents' reaction will necessarily be negative, because you know them better than I do, just letting you know. Also, be prepared to explain your pants off once you do come out, positive or negative reaction.
Anyway, waiting until the adjustment gives you time to be sure that this is the gender you want to be, and the gender ROLE you want to be in. Don't be afraid to explore, and don't be afraid re-come out (or detransition) if you change your identity. Correct folks you've come out to on pronouns/language at every turn when it's safe to do so, and once you're being referred to correctly on a regular basis, examine how that makes you FEEL. Are you neutral? Are you even more dysphoric? Are you happy/euphoric?
But yeah, that's my two cents. Good luck!