To be frank, I can't see SyFy's adaptation of "Being Human" being anything other than terrible. Especially compared to the BBC's version, my advice to any Americans reading would be to watch the Beeb's series, it'd surprise me if there wasn't a channel showing it over there. (They've tried to reinvent BBC shows for Americans before, and it hasn't worked, don't see why anyone thinks it'll work this time)
Anyhoos...
Thinking Romero's zombies being more like Ghouls... well, there's actually a pretty good reason for this...
In the truest sense of the word, zombies are the bodies of the dead, brought back as servants. The idea originates from Voodoo, where a priest would poison someone with "Zombie Powder", then, after their funeral, are able to revive the dead body to use as a servant. (They also appear in a lot of fantasy, with the priest being replaced with a necromancer, and zombie powder being replaced by magic, other than that, it's pretty much the same thing). These zombies have appeared in movies, I'd recommend you watch "White Zombie", if you want to see this, it's available for free (legally) on a lot of video sites, so there's really no excuse not to (it's got Béla Lugosi in it. That should be enough to warrant watching it regardless)
(By the way, these zombies actually exist. They aren't really dead, rather, they're put into a coma by the zombie powder, which contain tetroditoxin, aka puffer fish poison, which is easily mistaken for death by a lot of doctors. They get buried, still alive, then wake up in a coffin, oxygen deprivation does the rest when it comes to the zombie-like state)
Modern Movie zombies are basically sort of a cross between Ghouls and Revenants. Hell, if you watch the first modern zombie movie (Night of the Living Dead), you'll see the zombies are always referred to as ghouls. Ghouls are creatures (either Demons or Undead, depending on who you ask), that feed off the bodies of the recently deceased, which allows them to take the form of this person. Revenants on the other hand, are dead bodies that return to life to accomplish a single purpose (usually vengeance of some kind).
So now you know, and knowing, is half the battle.
It doesn't really help you when it comes to killing them mind... stopping a walking corpse is one thing, but shape-shifting Djinn with an insatiable lust for human flesh? That's just... yikes...