Urgh - that reminds me of one time in highschool I was walking to class and thinking to myself. I was in a really good mood and was smiling without realizing it. Suddenly, some girl from my class goes "Why are you smiling so much?" and she said it in a "you're weird" tone, not just a casually curious tone.
haha.. ohh highschool! i remember when i changed from private to HUGE crazy overpopulated public school! haha.. one time during class no one was really on the 'main hall' (huge) and i was walking to the bathroom or nurse's office (my favorite get-away) and i was just kind of walking looking ahead of me at the floor, not necessarily with my head pointed down, i just wasn't looking up.. i passed this huge gangster football player dude and he says to me "don't eva watch the floor, gurl! keep yo eyes up and aware!" like he was trying to give me defense/fighting tips or something, lmao... i just laughed, but i have never watched the ground ahead of me since then! hahaha... when i'm 'normal' aka not agoraphobic, i'm a pretty chill person, i usually just walk around and if someone looks at me or sees me look at them, i just do the smile... or if i'm feeling especially fab, i'll smirk, haha
as far as feeling like you're walking funny, maybe try focusing on absolutely ANYTHING but your movement... if you're not focused on it, then it just falls naturally.. think about nothing at all but your breathing pattern.. in your nose and barely open your mouth to exhale out of your mouth... idk, that's one of the reasons for my 'breathe' tattoo on my wrist, lol.. when i'm anxious or can't clear my head, i try to think of NOTHING but the way i'm breathing, the way it sounds, feels, etc... usually helps a little