I grew up in a snowy, icy place. I have a peculiar step I use on ice which my wife calls my "ice walk". I almost never fall down or slip on ice because of it, despite the fact that most of the time I am wearing unsuitable footwear (sneakers).
It came from direct contemplation of the physics. I realized that we normally walk by relying on friction. You push on the ground and expect static friction to cause a force moving you forward. Remove the friction and your foot just slides backward, throwing you off balance.
Better: try as much as possible not to do that backward push. Lift the feet and put them down vertically. Obviously there has to be some forward force as you need to move horizontally, but you are deliberately trying to minimize it. If you do it right, you'll be able to get across a lot of slippery patches that are defeating other people.
I also find myself thinking about the physics constantly around the house, with little fix-it things. How many nails, placed where, would give this thing the right structural strength. How do I stabilize this structure? (A single diagonal brace turns an unstable square structure into a stable one). How can I open this jar? (When I realized that it was the vacuum that created the friction of the jar lid, the answer was simple: pry the lid up just a bit and let the air in). What's the quickest way to get 6" of snow and ice off my windshield? (Ice melts at 32 F/0 C. The first thing you do is open the car and start the heater and then wait a minute. It only has to get the window to 0 C to make your life a lot easier).
There are literally hundreds of examples like that. I think about the physics all the time.