We have 4 snow on the mountain plants. Every year my husband cuts them down to the top of the soil...is that what you are suppose to do? We live in Colorado so we can get snow as early as October. We are not sure if we leave them alone and wait for new greenery to start growing in the spring or cut the whole plant down in late fall?
That is acceptable. Being an invasive species, it is ok to mow them down as often as necessary. This will control the height, but cause them to spread, laterally.
Most people will run the lawn mower any time after blooming has ended in the fall, winter or early spring.
Will it climb and hang to walls etc
There are a couple of plants called snow-on-the-mountain but neither of them climb. One is a groundcover and the other is a tall annual. Here is more:
What is the optimum stage for cutting? How long will it hold?
There are a couple of plants that people refer to as snow-on-the-mountain so I'm not sure which one you have. With either of them, cut them early in the morning while the dew is still on. Cut them before they reach their prime. Also, in the bouquets, change the water at least every other day. Bacteria builds up in the water and that is what hastens their death. And be sure none of the foliage is below the water line. You can strip off the leaves on the lower stems.
I think either one will last a week in a vase.