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"The United States is divided into several regional hardiness zones according to the average annual minimum temperature. These regions are most commonly referred to as Northeast, Pacific Northwest, Midwest, South, Southern California, Desert Southwest, and Mountains & Plains although each region can be even further divided into more specific climate zones." Most gardening books have these maps located in the front or back. https://www.gardeningknowhow.com/planting-zones/

Ask any local garden shop. They can tell you.

Arborvitae is a common and good choice for containers. I would make sure that you choose a tree that can survive one growing zone lower than yours. Plants in containers experience weather more like zones one lower because they do not have as much protection from the cold for the roots as plants in the ground.

These articles should help: https://www.gardeningknowhow.com/special/containers/how-to-grow-container-trees.htm
https://www.gardeningknowhow.com/ornamental/trees/tgen/growing-trees-in-containers.htm

In this document is a list of apples for Wyoming:
http://www.wyomingextension.org/agpubs/pubs/MP119_8.pdf

We are uncertain about pears in your area, but if you call the Extension Office listed in the document above, they can help you with that. Wyoming zones range from 3-5, depending on where you live. Find approximately where you live on this map of Wyoming and match the color of the location to the legend below the map. That will be your zone.

Popular warm weather grasses are St Augustine grass, Bermuda grass, Zoysia grass and Centipede grass. You can look at those and see which would best fit your particular lawn.

It is best to pull out the old lawn. Some grasses, like zoysia, are good at crowding out existing lawn grass, but this can take some time to do. Other grasses do not compete well with others so you need to remove the old grass to get the fastest and best chance for the new grass to establish.

This would be 68-86 degrees Fahrenheit.