The page on our Native Plant Database on each plant contains Propagation Instructions as well as Growing Conditions that should answer your questions about soil, sun requirements, and water use. You have chosen a good selection of plants native to Central Texas that are low water usage. The Propagation Instructions on these will sometimes include using hardwood cuttings. Here is an article on Home Propagation Techniques from North Dakota State University Extension, which should answer some of your other questions. The Red Yucca page does not have Propagation Instructions on it, so we will give you a link to a website on that plant that does.
Chilopsis linearis (Desert willow)
Ungnadia speciosa (Mexican buckeye)
Prunus mexicana (Mexican plum)
Hesperaloe parviflora (Red yucca) - more information from Pima County Master Gardeners
Opuntia engelmannii var. lindheimeri (Texas pricklypear)
From our Native Plant Image Gallery: