Denis, while this is not everything you'll need, this will get you going:
1) Auger - I would get at least an 8", Fin Bore or Swede Bore.
2) White Bucket - For your bait and to sit on.
3) Rod/Reel combo
4) Ice fishing line or light mono will do the trick.
5) Ladel to scoop the ice.
6) Cleats for your boots are not a bad idea.
7) Thermal socks
8) Toboggan to hall your stuff out.
9) Some Spreaders if you use minnows or pickeral rigs will work
10) Minnow net - trust me keeps your hands warm.
Down the road if you find you like it, a portable hut (Clams are good).
This is what came to mind, I'm sure others will add.
Good luck
Jim