some things to think about/ honed will give you a warmer / softer look and you'll have to seal it ever so often/ polished is a more formal look ...brighter... but you may have to have someone come in and polish it every few years. Either way, its a timeless look

I went with polished in my bathroom... We installed a beautiful pattern only to have to cover it with a rug because when you step out of the shower with wet feet on the polished smooth surface.... Let's just say it isn't pretty. Just something to think about if you may get water on the floor.