I take them off, including the socks (it depends, sometimes I need to rush out again and so I leave the socks on). My country is directly under the equator, it's freaking hot, leaving my shoes on while at home would drive me restless. My feet are already heated by the socks and amount of walking I do, they need to cool down. Moreover, why would I want to dirty my home or anyone's home for that matter? It is also a cultural thing here we do.