What's the best way to stream my files to my devices whem I'm away from home?

I'd like some streaming help please.

I've got a linux mint laptop, a windows pc, an nvidia shield and films that I'd like to watch from anywhere. Can you suggest a best way to do this, or any 'best' method that I can adopt?

I'll add that I'm not great at Linux, and all these devices will be on sleep mode when I'm away from home (apart from my nvidia) - which I believe is always on.

If possible I'd like to keep costs down, but I'm open to learning some new stuff.

Thanks for any help.

Edit: tarted up text.