In a chilled bowl, and with chilled beaters, whip the heavy whipping cream until soft peaks are barely forming.
Add everything other than the booze, and whip to firmer than soft peaks.
Fold in the booze (or use the mixer on low).
Taste test at this point - you might want to add more spices if all you can taste is the booze.
Freeze overnight (minimum 3 hours, depending on the size of your container, and the temperature of your freezer.