In all honesty, I think what you really mean is ‘I want to build muscle, just not as much muscle as the guys in the magazines. And I want to stay very lean.’ Those things are very do-able. And they will have very little to do with the particular routine you follow.
Your body will develop, for the most part, in ways you’re genetically inclined to develop. Some people develop a big back easily, or big legs. Some people have a very hard time developing their chest, or their shoulders. Since we have no idea what you look like now, it’s impossible to guess how you’d look doing any kind of weight training. Maybe you’d look like Sandow, maybe not.
So, the video you posted is pretty silly. That’s not a ‘kick ass routine’, as this guy calls it. It’s just a complex, much like any complex, that could be incorporated into, or at the end of, any given workout. It’s not the meat of a program though.
I would suggest finding a very basic dumbbell-only program on this website, and doing that, without the idea of ‘old time strongman’ in your head. You’re not going to become the thing you’re worried about. You won’t get puffy muscles. As long as you eat appropriately for your goals and stay lean, and lift heavy and often, you’ll be able to get what you want out of the gym.