I currently use a chrome computer to write all of my stories for Episode. The only problem is that it is falling apart. I am keeping it until my classes end in Dec, so by the new year, I will have a new computer. I am still going to have a chrome computer even when I get my new one. I just wanted to know if switching computers will log me out or cause any issues with the stories I currently have going on? Sorry if this makes no sense!
You should be fine as long as you remember your log in information.
You can use your account on any device 
nothing will change