Hei Zigarum, welcome to you ;)
The closest ski resort ?...Hmm...moutains in Poland are in the south of the country...the closest ski resorts are hundreds kilometers far from Warsaw i'm afraid...
About bars, i can't help you, but there must be a lot of cool places to go ;)
Good luck to you anyway.
Take a look pl-info.net/poland/tourism/winter/snowboard_ski.html
webcams here snoweye.com/?page=pl enter the place name in google maps and it will show you where it is.
But to be honest it isn't that good this year, and we are going to Štrbské Pleso Slovakia next week as it has guaranteed snow and better runs.