What can you do with stray animals?

Does anyone know what I can do with a stray animal on the weekend? A stray cat has made a home on my apartment’s front patio, probably to hide from the rain, but I don’t want it there. Is there a shelter or facility I can take it to? Every time I go outside it follows me around. I do t want to hurt it, but I don’t want a cat.

I’m in the Cypress Station area.