Winter peaks for beginners

Hi All,

Planning a hike in the Adirondacks for this coming Sunday (1/8/16)
I hike quite often but im relatively new to the Adirondacks
I did cascade twice, once in the summer and once in this winter.
Any suggestions for the next one in terms of difficulty and views?

Regarding gear, besides the usual necessities and plenty of layers, i have micro spikes and snowshoes. Do i need a ice axe or crampons?

Thanks!