I visited Copenhagen yeras ago, and went to Tivoli. I really liked the place, because it is quite unlike most USA-style amusement parks…it is more of a 1950’s kind of place. It also has some very nice restaurants, and you can spend a nice, relaxing day there, top it off with dinner, and a concert…with fireworks at midnight!.
Anyway, is the park open in the winter? Are winters in Copenhagen too cold for this? And, does the Carlsberg Brewery still have unlimited beer tasting at the end of the tour? 
I went there several years ago in November. It was open then. It still is. There’s free beer at the end of the Carlsberg visitor’s centre tour, but it’s limited.