you can stream from mobile with apps like SLOBS. The quality depends more on your data package / wifi than your phone. To stream at a decent quality you probably don't want to push with less than 3-4MB/s. Which means that you'll be using a few GB of data every few minutes you're live.
Discussion
Cheers pal - my mate over here is considering livestreaming his snakes eating their dinner for anyone who's interested but it'd have to be done via mobile