I have never tried rooting camellias because I am lazy and prefer to buy the
plants but the process is simple, in theory.
Cuttings should have several leaf nodes and all but the top two or three leaves should be removed. Trim the remaining leaves by about half or less to reduce the chances of dehydration. Make a tapering cut at the base. The branches on your picture should provide you with many good cuttings. Apply rooting hormones and fungicides per label instructions. A 4-6" deep mixture of sand and peat moss (50/50) can be used as the rooting medium. Insert the cuttings to a depth of at least 4" in a 6" deep rooting medium. Keep the rooting medium moist, not wet. Cover with a transparent plastic soda bottle to keep the humidity high (this is why you need fungicides). Keep the
plants in bright indirect light. The ideal time for doing this is during the summer. 6-8 months later you should have a well rooted cutting that can be transferred into a small pot. Keep the underside warm.
Air layering is a process that involves scraping off a piece of a limb and covering it with aluminum foil (plastic wrap, etc) & spagnum moss to develop roots. After roots develop in 3-6 months, you cut off the limb below the original scrape, soak in water and then
plant. Remove excessive
plant buds on the first year as air-layered
plants will bloom on the first year. Note: because the limbs in your picture are not attached to the
plant, you cannot air layer with them.
Good luck, floweringchild!