Is it even possible to dye your hair and have it be healthy (&shiny) at the same time?

I have thick dark brown hair and I want to make it a slightly lighter brownish-red. I have no clue how to do this but to (permanently) dye it... This'll mean I'll have to keep on dying it every time the dark hair starts to come back in, and that might cause it to get really dry and damaged. So, is it even possible to have dyed, healthy hair? If so, how can I keep it healthy if i do dye it?