The best type of trailer depends exactly on what you're going to be doing with it.
A single wheeled trailer, like you've linked to, works well for things like touring. In that sort of case you often aren't carrying a vast amount of volume or mass, so it's adequate, and the advantage of this trailer design is that it's relatively narrow, so if you can get your bike through generally the trailer will fit as well.
A two wheeled "flat-bed" trailer (which may or may not have some sort of box on it), like a Carry Freedom Trailer, can generally transport bulkier and heavier objects than a single wheeled trailer. The single wheeled trailers which are mounted on the rear axle, don't generally like a lot of mass too high up, they tend to want to make the entire bike and trailer assembly tip over, which can make loading and low speed handling difficult.
Some two wheeled trailers, can be reasonably compact, if they are just a flat structure, and the wheels are removable. If it's a box construction with permanently fitted wheels, then it can be a bit bulky. Most of the one wheel trailers are reasonably compact, but don't shrink too much (if at all), so you'll need somewhere to store them.
The big potential downside to a two wheeled trailer (aside from storing it, possibly), is that it's much wider on the road. You have to take some care when passing things, and with narrow bicycle routes (ie collision with kerbs, barriers etc).
I've got a Yak Bob (which is similar to the Rose one), which can take a moderate amount of load. I've used it for some camping, and it had plenty of room for a large tent, and all the rest of my kit, probably more kit than I could carry in four panniers. It works OK for shopping, but I normally bungee a plastic box onto the back, which helps to keep the groceries constrained.
I've considered getting a Large Carry Freedom as well, since it'll take a lot larger load than the Yak Bob (The Carry Freedom comes in two different sizes).
I've taken heavy loads of recyclables along using the Yak Bob, but it made the handling uncomfortable, and it was difficult to keep the bike upright when stationary.