Loosely tie the branches of the shrubs to prevent damage and keep them out of your way. Dig a trench around the shrub slightly larger and deeper than the desired rootball.
Undercut the rootball with the shovel. A sharp spade, hand pruner or lopper will make the job easier especially for larger or tougher roots.
Slide a piece of burlap or canvas under the rootball. Ask a friend or neighbor for help with larger plants. This is easier on your back and reduces the risk of dropping the shrub and damaging the rootball.
Set the shrub in a hole wider, but the same depth of the rootball. Carefully cut away or slide the tarp away from the shrub. Then back fill the hole with the existing soil.
A bit more information: Increase transplanting success with proper post transplant care. Water the plants thoroughly whenever the top few inches of soil are crumbly and moist. Mulch the area around the plant with a 2 to 3 inch layer of shredded bark or woodchips. Be sure to keep the mulch away from the base of the shrub and trunks of trees.