This is the Winther Donkey in action:

Here is a detail showing the hitch, which clamps to the rear stays using wing nuts. Very simple but a wee bit of a faff to get on and off.

They modified the original design by putting the 'roll bar' on the hitch to stop the trailer from turning over. This means you can definitely feel the bouncing when it happens, though to be honest it never felt like it was going to tip the trailer over, nor the bike even when I could hear a thump thump thump as the tyres alternately landed back on the tarmac at 18mph...
I am probably guilty of running the tyres at too high a pressure in the early days, though I still adhere to the principle that the heavier the load, the firmer they need to be. Essentially its a centre of gravity issue with shopping trolley/golf cart style trailers.
I like the Winther Donkey a lot for its nifty features: mudguards, sturdy plastic box built in, flexible steel rack/shelf, waterproof stretch cover, built in bungee cord, and a single shopping trolley castor on the underside for wheeling it around the supermarket. If the hitch was not so heavy (1.4kg) I'd probably leave it on one of my bikes permanently, as it's fiddly to get on and off. It also could get in the way of the tagalong boom arm, so can't leave it on the hybrid. This means I don't use that trailer much now, though it has given good service on two cycle camping trips.
For touring the Cary Freedom Y-Frame is the business. The hitch is really neat and light so I have two, one on the folder and one on the hybrid, meaning I can easily tow the trailer (and my DIY Y-Frame large) from either bike.