better recommendations about the same price/
I stayed at the hotel Wyspianski its within walking distance to the city center. The rooms aren't bad, kind of small but clean. I didnt spend much time in the hotel bc there was plenty of action on the streets. I dont know think March is the best time though, probably still too cold and smoggy. The underground bars are good, you can walk there in 5 mins.
hotel-wyspianski.pl/en/
I just checked and its only $32 per night! wow!
They have free breakfast too, but I cant remember if it was good or not.