Sounds like the root cause of your issue with the fandom isn't the fandom itself, but your living situation. To put things simply - if you gave up on being a furry, would you feel better? I'd argue no, the furry isn't the issue... Sounds like a lack of privacy and not being treated with respect is.
But to your original point, you say "Make the furry fandom acceptable in most peoples eyes" - you've got to define what that looks like. Many folks on here have pontificated on how to make the fandom better, and almost always it's... at the expense of why most others like the fandom. Typically it's get rid of the porn, and a not-insignificant part of the time it's "get rid of the LGBT stuff." I can set my watch to these posts.
That won't change, but if you're set on improving the public image of furries, I wouldn't go about it through trying to change what people do. I'd aim to get more community-service-like actions done with a furry link, so charity fundraisers done in fursuits (donate to shelters?), trash pick up with a furry-bend, that sort of think. You'll never change the "furries are horny" idea for many, but you can always aim to make people's first impression something else.
Though, as others have said, furry-hate was a meme a decade ago, but it's old. Not sure as many people give a shit. Hell, not sure that many people gave a shit then, just a vocal minority.