The Hopper has 3 tuners - but one is dedicated to the primetime channels (abc, nbc, cbs, fox). So during primetime you can record 6 different things at once, but 4 of the 6 have to be on abc, nbc, fox and cbs. I think the Genie can do 5 of anything. I haven't run into a problem yet with recording on the hopper, but my kids are still small so I don't have to record much for them, and my wife and I watch all of the same shows.
Dish put alot of the channels together - all the sports stuff -espn, nfl network, nba network, mlb network, hockey network are all together. So are the kids channels. Movie channels are all together as well.