For the explanation, i wouldnt bother, at all. I wouldn't bother explaining any of it. Let them find out for themselves, this allows you to save tons of time instead of explaining to everyone, all the time. Also, learn to not care about what people think, stop caring about their opinions because you have a general idea about what they think. Stop wasting your time with this, it's generall unnecessary and it raises more questions than answers.
For wearing furry stuff, a good reply to the "why do you wear *insert furry item here*" is "why not? "now ask them why cant you wear whatever it is or why you cant be a furry. Point out that it's not illegal, etc.