First you need to prepare the new location before you dig. Camellia roots are shallow so you won't need to go very deep. You can use the canopy as a guide for width. Plant it in the new location at the same level as it was at the old location. Water in well and mulch.

can you wait until fall to do this? that is the recommended season for transplanting.
information about this is at the site linked below.

Here is a link that might be useful: camellia culture