Were I actually, you know, maintaining a web page these days, might have a better answer.
But, ah, anything with a connection fast enough to deliver mid-res video at a reasonable rate, and enough webspace for me to put ****loads of it up there and forget about it, because that's precisely the sort of behavior that got me kicked off of my last hosting deal.
Oh, and some form of security. Suppose there's no way to keep, say, you from prying in there as server admin if you so pleased, but since I do run restricted-access stuff time to time I like to keep it bloody restricted, without having to resort to hiding the good stuff in among like 50 similar virused files again. Three bucks, it'd just have to keep the ****heads out. Much more than that, I'm expecting some sort of script that does something horrible to anyone who tries to get clever on parts they ain't supposed to see.