I have a tiny house in Yuma az. I can't seem to find plants to grow

https://landscapearizona.com/arizona-plants-htm/

thrive? survive in the sun? fit into a specific site?

Have you tried Lantanna? Thrives in heat and comes in difficult colors.

Suculents

I just found a website "AZ Plant Lady" (google it). She has great garden suggestions for that climate.

Check with your county extension office. They will be able to provide you with some fact sheets and information/list of plants that are native to your area and that will thrive in your environmental conditions.

We live in Phoenix (hotter than Yuma) we have had success with:

Lantana, stands up to heat well, but will frost in winter

Roses, stands up to the heat when established, beautiful in spring and fall, stands up to frosts.

Seafoam Statice, stands up to frosts, dies back in mid summer heat but comes back in fall.

Aloe Vera, blooms in spring (tall pinkish spikes) stands up to heat and frost

Mexican Honeysuckle, stands up to heat, does well in winter, cover for frost warnings

Petunias, stands up to early heat, does ok in full sun,, gives up in high summer, dies back after a frost. I usually budget to replace (in big pots) every spring.. just to have the color.

Geraniums, same as petunias.. I love geraniums and replant every spring.

Impatiens, same as petunias.

Pansies, same as petunias (love these guys)

Bougainvillea, stands up to full sun and summer heat, best to cover for frost warnings )dies back if frosted, will usually come back in spring).

If you want more variety, as you drive around, look at the landscaping at the big business parks, hotels, and housing developments... they use stuff that holds up to the local climate... and then rotate in stuff that gives the color (you could do this in pots and planters, to keep the cost down).. a few colorful hanging baskets on shepherds hooks would add interest and temporary color.. remember to water often in summer