The amount of gear you tote may also vary with circumstances. At a minimum you’ll need an auger, traps and bait. You may want to bring some food, or even a small stove. Longer stays or colder conditions may call for a collapsible ice shanty.
The point is, you need a means for hauling all your gear. In many cases you can fit what you need in the bed of a Rhino. For 4-wheelers there are various after-market racks and holders are available for just about anything and everything. However, a sled or small trailer may be a better option as you can tote more stuff, and weight is distributed over a larger area.
The most important thing you can bring is common sense. Safety should always be foremost in your mind and you should never venture on the ice when and if it could put you, your passengers or your machine at risk. Be safe, stay warm and have fun.