Some of the places like Bauhaus rent them, but you can buy a cheap one for around 50 CHF at places like Jumbo.
You won't really manage to get it dry. You'll get the worst out of the upper layer of carpet, but that is only about half of the water. Laying towels down, pressing on them, and wringing them out every few hours will get a bit more out.
What you need to do is leave the windows open and run a fan to get as much air circulation as possible.
I'd go with magnesium chloride in such case, very good dehumidifier and non chemical, and do not buy the freakingly expensive small pots sold for health issues and such, but get a big bag of Ice melter/snow remover and check the bag for it being magnesium chloride. (The big bags are pure and suck up more water, and are much cheaper)
The theory is simple, air gets dry and thus sucks out the moisture of the carpet.
Take into your apartment and hang them up. Switch off any humidifier. Open all Windows for fifteen minutes. (Yes I know it will get cold.) Point a fan on the carpets. Turn up the heating a bit. After the air is warm again humidity will be around 35%. The carpets will will dry rather quickly. After that switch on your air humidifier or hang up freshly washed cloths to get air humidity back to normal level.
Note to persons from the future/summer: This works best in the winter.
Considering the air already has not much moister (dew point wise) at this time of year that may result in a mummy driver . I suggest to take lip balm on the drive.