We transplanted about 15 similarly sized spruce trees in my yard a month or 2 ago.
Backhoe around all 4 sides about 2' out.
I then slid the FEL bucket under the the tree, ran a strap around the trunk of the tree (back to the bucked) and did a combination of lifting and dragging to get it out.
The bugger was establishing and planting into the target hole. You'll need to pull the tree out, eye-up how big of a hole you need, dig new hole and plant it.
So far... All seem to be doing well.
You're not too far away from me (about 45 miles). Have you checked with a local nursery or tree farm? The one down the road was going to bring a skidsteer with one of those cone shaped tree diggers (sorry, forgot what they're called) and do it for me for $15/tree.
EDIT - PS. Varmintmist and I wrote the same thing at the same time. Sorry for the duplicate respone.