Mount Chocorua Winter Hike?

Looking for recommendations for this challenge. I did it in October years ago when the kids were little. It was definitely not easy but am way more fit now. I understand conditions up there are harsh.

Just did Whiteface through blueberry Ledges trail out and back this weekend. It’s doable but know I have to be prepared for low temps and wind. I only have micro spikes and trekking pole. I prefer to just use one so have a free hand to grab trees.

Chocorua not a terribly long hike but has complex trail systems and obviously the top is quite a scramble. I don’t remember it very well.

Fitness is plenty to do the hike but don’t have a huge amount of winter experience in the mountains.

Looking for recommendations of -gear. Should I get snow shoes and ice axe? -trail suggestion as I read the Paugus parking lot is closed this time of year? -conditions? Should I just avoid it because of ice?