I use a small Erde trailer, mostly for transporting loads to the local tip. If empty or lightly loaded, it does tend to bounce around and rattle quite loudly but is perfectly stable. Under load that noise becomes minimal.
As for range, a journey that would consume an average of (say) 250kWh increases to around 300kWh, however I haven't used it on a motorway or above 50mph. Performance should not be a concern when towing a trailer although my car (LR with performance boost) seemed unaffected under acceleration on the one occasion I tried (straight line, deserted road).
A small trailer is narrower than the car & therefore cannot be seen by the wing or interior mirrors so I recommend leaving the rear camera view on screen as much as possible, easy enough to tap the camera icon or use voice control to turn on-off.
If you don't already have one you will probably need to purchase a low cost 7-13 pin adaptor to connect the wiring loom.