My body language and movement needed to change. I know that there's certain things more common amongst different genders, but I have seen many women with somewhat masculine ways of doing things, and men with feminine ways, too.
But for me, before I knew I was transgender, I felt trapped in my own skin both physically and mentally. I did not express my movements, I did not do anything except the what of it all. But with this transition, now I find that I want to show myself more and more, and enjoy being more expressive in so many ways.
Hip-specific movement is still very new to me though, I tried like learning how to feel music more with my hips than with my shoulders/head; and while it feels so much better, it also feels really awkward. I think my stride has improved significantly, but maybe not entirely feminine enough? Sometimes I try to arch the muscles right above my butt when I'm walking, pulling-up on my ass. Doing that while trying to take smaller, more defined steps, and keeping my feet close to the middle of my body tends to make it impossible not to sway your hips at least a little while walking.
One thing that was a bit more challenging, but I now do easily, is using my hands more like 'paper' and less like 'rock'. Not exactly a 'pinkie's out' kind of gesture, but taking that mindset feels important to me that I find I use my hands in a more considerate and effective manner now, than one with a bit more force and speed.