Matsumoto winter etiquette for budget travelers?

Hey travelers! I'm organizing a trip to Matsumoto with a group of friends this December. As we're on a tight budget, I want to ensure we respect local customs without overspending. Are there any specific cultural norms or traditions we should be aware of during the winter season? Any tips on finding affordable winter activities or free New Year celebrations in Matsumoto? I want to make sure our group can navigate Japanese society respectfully while enjoying the winter illuminations and festivities. Any advice on budget-friendly accommodations that cater to groups? Thanks in advance for your insights!