It's so tempting ^ haha
I take my friend's angora rabbit.. it sheds its hair every once in a while
My auntie also used to have a llama that they'd pick the shed hair for me

Now the only one alive is the mean one that doesn't let anyone near it...
Also you don't have to dye
you can also twist two or so different-coloured yarns together
I know a weaver who does this with her jacquard tapestries, she never dyes her own colours