Vacuum Cleaners Discussions

We just had wool berber wall-to-wall carpeting installed in several rooms of our home. The manufacturer recommends a suction only vacuum, without a beater bar to "avoid excessive fuzzing."
First, is a beater bar and a brush roll the same thing on a vacuum?
And second what's my best bet for a vacuum? We have 700-square-feet of wool berber carpets, 600-square-feet of laminate and 200-square-feet of tile (including stairs) to vacuum. We own two boxers (dogs) that shed short hair and live in a dusty (agricultural) area.
At the recommendation of a local shop we tried out a Miele Titan (with 217 head) with the brush roll on (they're some of the softest brushes according to sales person). We used it for a while on a remnant of our carpet and I noticed what I think is some fuzzing so I worry that with extended use we will really wear into the carpet. Is there anything with some kind of brush roll or option other than straight suction to really get the dog hair up? Or something with enough suction not to worry about it?
The Miele seemed to do a very nice job but we're struggling for an accurate comparison point.

THANK YOU!!!

That's a shampooer / extractor, not a vacuum cleaner.