First I have to say..... THAT DOGGY IS SO CUTE!!
Okay, now that's out of the way. Personally, I think you should focus mainly on educating people on what being transgender is. People tend to get confused about us and create a bunch of assumptions in their head as a result. And you know what they say, ignorance can lead to hate. Once others see that we are normal people just living our lives, they tend to be more accepting. IF people continue to have bigoted and incorrect views about us, they are less likely to care about transphobia. So, I think establishing our humanity is the most important thing. Then go into transphobia and the issues we face. At least, that's how I'd do it.