This is a multifaceted question. I was really jonesin' to say "multifaceted."
On one hand, it can be said that your personality is who you are on the inside. That doesn't change. You are you, and there's nobody more you than you. Is it fundamental? How deep up the rabbit hole are we going?
Then, there are more external personality pieces, like you mentioned, crying. After about eight months on estrogen, that's leveled out. I cried a lot during the first few months, but it might have also been situational: losing my house, a close friend moving across the globe, having nowhere to live and nothing to eat. But my emotions are definitely more fluid and useful. As a boy, it took a lot for me to cry. Once I was there, I'd be stuck there for a long time. Now when I do cry, it's much easier to move on. I feel better, and I'm laughing again in a minute.
And then there are things like mannerisms, sexual feelings, sexual orientation. I gesture more "like a girl," but that may be because I'm just letting myself do that. My drive for sex is... if a male sex drive is like an up-and-down arousal, then a female sex drive is more side-to-side. My orientation is a lot more fluid. Some days I like cis girls, some days I like trans girls, and other days I like boys.
I was never the aggressive or competitive type, and now I am even less. While I like this about myself, it's really working against me. No trans pun intended with the words "against me."