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It might slow it down a little, but it shouldn't be stunted. Hostas do well in containers. I have a large container with two hostas in it that have been there for two years. If you are digging it up to put it in a container be sure to get as much of the rootball as possible. Water it well before traveling.

https://www.gardeningknowhow.com/garden-how-to/info/relocate-plants-safely.htm

Early fall is a great time for this project. Here's a helpful article:
https://www.gardeningknowhow.com/ornamental/foliage/hosta/transplanting-hostas.htm

In the next picture, I would wait a season to see if the two shrubs bloom. Then you will know when to prune, if needed. If they bloom in spring, generally prune immediately after blooming. If they don't bloom till summer or fall, it's usually safe to prune in spring.
The small tree on the right looks like a Japanese maple and they are pruned in late winter, if needed.

https://www.gardeningknowhow.com/ornamental/trees/japanese-maple/japanese-maple-care.htm

The whole thing. Divide them into individual plants. Each will have its own crown. You can choose to leave larger clusters if you want. This article will help:

https://www.gardeningknowhow.com/ornamental/foliage/hosta/dividing-hosta-plants.htm

Here's an article with the names of different hosta plants.
https://www.gardeningknowhow.com/ornamental/foliage/hosta/types-of-hosta-plants.htm

https://www.gardeningknowhow.com/ornamental/foliage/hosta/growing-hosta-plants.htm

However, this is likely too sunny of an area for hosta that thrive in a shady area. You would need to water them more to prevent scorching or plant shrubs in between that would give them some shade. I would find a shadier location for your hosta and plant some nice foundation shrubs for zone 5.

https://www.gardeningknowhow.com/ornamental/shrubs/shgen/foundation-plants.htm

Hostas in pots will do well outside in a protected area as long as they are mulched well. If you want to be doubly safe, you can winter them in a garage or basement near a window and water sparingly over the winter. Rose of Sharon will need to be stored in a cool location as well, such as a garage or basement.

https://www.gardeningknowhow.com/ornamental/shrubs/rose-of-sharon/rose-of-sharon-winter-care.htm

I would recommend wheat straw over pine straw. Pine will tend to make the soil too acidic as it breaks down over the winter.

Here are some articles that will help you with using mulches:

https://www.gardeningknowhow.com/garden-how-to/mulch/best-mulch-for-garden.htm

https://www.gardeningknowhow.com/garden-how-to/mulch/using-inorganic-mulch-in-gardens.htm