Kierstin, they are camellias. They can be moved; you're going to need help (two or three strong bodies) with the weight of shrubs this size.

I've moved rhododendrons that size but not camellia...I understand they are shallow rooted but not quite so much so as rhododendrons. Cut around the plant with a shovel, then go back and undercut the rootball on one side, then the other. Tip the plant, and slide a tarp or heavy sheet of cardboard under it...drag the plant to it's new site, easier on the roots if you don't try to lift the rootball with dirt, and easier on the lifter(s).

Here on the coast, I'd be tempted to do it now, mulch well and be prepared to water into November. But, there are some savy Pacific Northwest camellia growers on the camellia forum here, you might check there as to the advisability of doing it now or waiting.