Thanks for your question.  They appear to be boxwoods.  Did you happen to have kept the little plastic tag that came with them?  Since there are so many (217 registered cultivars and 148 cultivars and species), you might want to ask the garden store (or whoever you purchased them from) if they can tell you that.  I've attached a photo showing just a few types of boxwood.

The important issue for any plants in pots is how cold it gets in your area.  The USDA says Christian County has areas from Zone 5 b (-15 to -10 degrees) to Zone 7a (0 to 5 degrees), historically.  I don't know which zone you're in.  But, it gets well below freezing, so protection for these shrubs is important.  (Each species can tolerate different coldness conditions, but they are native to warmer climates.)

They are woody perennials (they live year after year), but they are subject to inadequate watering--before, during and after winter snows--their branches can break under the weight of snow and ice.  Either pruning very lightly now, to remove the longest branches, or getting them under an eave or patio cover, will help avoid that.  Even putting up a tent/tarp that doesn't touch the plants can help.

Also, they are susceptible to winter burn, which causes the leaves to brown, die and fall off.  Making sure that your plants get adequate watering throughout the winter (not snow/ice melt) will help prevent this.

Roots (especially in containers) are susceptible to damage, and mulching the top of the soil surface can help that.

Putting them in an unheated garage obviously deals with some of these potential problems (at the cost of your back!), but they actually do continue to photosynthesize during the winter (since they are evergreen and don't drop their leaves).  So outdoor protection is really the key.

Here is a link to the American Boxwood Society article on these plants.

I hope this is helpful.  Good luck!