I was just shopping and looked at that. So you use mainly beer bottles if the champaign bottles use different caps.This is the capping tool I use: https://www.amazon.com/Ferrari-LDC-4016-Bottle-Capper/dp/B001D6KGTK/
Champaign bottles take a different type of cork and a different tool than wine bottles. Some but not all champaign bottles will take the same crown caps as beer bottles.