Hi-

My 'equipment':
Salomon Quest 4D 2 GTX mid-weight hiking shoes
Black Diamond Ice Axe (60)- rented from REI
Black Diamond Contact strap crampons - rented from REI
OR Crocodile Gaiters
Smartwool mountaineering heavy hiking socks x2

I cannot re-iterate enough, ice-axe is NOT optional. Its always about tail risks on mountains and how one does a 'self-arrest' on ice/snow with hiking poles is beyond my comprehension.

Hope this helps

thanks!