If your plant is young and small, you will want to deadhead the spent flowers. Rhododendron will put an enormous amount of energy into setting seed if not deadheaded when that energy would otherwise be directed into flower buds - on young plants especially that can lead to heavy flowering every other year rather than each Spring.

Snap the spent flower structure off with your fingers, no pruners required, being careful not to break the new foliage buds at the base of the spent flower.

You'd have to be prepared to move it with a decent amount of soil around its roots and water it well a few days before so it can take up the moisture. Enough water to hold the soil together without making it all impossibly heavy to move.

If it's put out onto a tarpauline or drag sheet then it is not too hard to move it across grass or brief stretches of hard paving.
And prepare the new site well in advance with good compost mixed in with the soil. A deep 'saucer' hole is probably better than a deep 'bucket' hole.

Many Rhododendrons will sprout again from old wood - as will Camellias, particularly if they have enough water and a refreshing mulch of good compost. Old maple, oak, pine leaves mixed with steer manure and aged for a year would be useful on most soils. (You shouldn't be able to identify the ingredients. Just a moist, crumbly and sweet smelling 'dirt'.)

Expect it to take several years to become fully established in its new site. If you get severe winds, a stake or two could be useful.