Changing your voice takes practice, and repetition. You can go to voice therapy, but ehhh ... When I was transitioning it was practice, more practice, then my own ears adjusted to voice recordings I took and active repetition. Voice therapist would be quicker. 'Course I doubt it would be covered by public health? I imagine you'd have to prove it was an impediment or causing you distress of some kind. They're probably not too expensive, but you're still likely looking at a fair whack of dough.
It's a pretty long process, and if I remember my psycholinguistics, tone is easier than accents mainly because we alter our tone all the time and that's a skill we just naturally learn through environmental factors but patterns and formations of speech are often a mix of multiple different factors. When you speak, you don't often consciously choose how you say something, though through conditioning we do often subconsciously alter our pitch and tone to suit different environments through practice.
The problem is there is also an auditory hallucination involved with speaking. Our ears positively determine our speech, and so familiarity breeds positive feedback. When accustomed, that is. The problem is how we tink we sound, and how we really sound, are two different things. So it becomes frustrating when trying to change your voice because it really is learning to accustom yourself to a way of speaking that doesn't merely sound 'pitch perfect', but actually sound kind o off to you, but pretty good to others.
Rinse and repeat ... takes ... a long time. And the problem is you have to be committed also. If you're deadset on changing how you talk, you can't just stop talking once you achieve what you think sounds best. Because you'll lose a lot of the progress you've made.
Like believe it or not sneezing and how it sounds is learned behaviour. Sneezing is involuntary, but the sound it makes is often learnt through close family. You don't just naturally sound as you do when you sneeze, even if it feels as if you were born with that type of sneeze. You can actually slowly change how you sneeze through practice, repetition and so on and it will eventually become second nature to you. So to all you loud sneezers out there, you have no fucking excuses for sounding like a wrecking ball crashing through an otherwise soundless amphitheatre.