I do okay around the house usually. It's shoes and unfamiliar terrain that "trip me up". When I almost fell while in my closet I was on carpeted floor and it made me even more unsteady.
Around the house I usually have socks on. The flooring is wood so it's flat and even. The bedrooms all have carpet and I don't do well on carpet.
If I could go out in just my socks (no shoes) I think I'd be much steadier. Probably get a few strange looks but at least I'd be upright!
I got a pair of very lightweight slip on shoes (Skectchers Go Walk) thinking that would help but they're just like any of the other shoes I've tried.... anything on my feet (other than socks) just messes up my balance.