As many have mentioned, you're biggest concern is not going to be what device to use for streaming videos, but how you're going to deal with the bandwidth demands. Bottomline, you're going to need a data plan sufficiently large, and one that does not throttle your speed when you reach a certain use threshold.
There are only a few so called unlimited mobile data plans available. I use Clear 4G for that reason, but coverage is limited compared to other network providers. I've never experienced any throttling, though have used in excess of 50G in a month. However, Sprint who owns Clear is apparently converting towers over to 4LTE, so unClear as to whether they will keep WiMax, or even if it makes any sense to continue to do so in the future? Which will make their current WiMax dependent phones and mobile devices obsolete.