Looking at the video, it's clear that the play is in the bearing, No big surprise there.
According to my parts book the bearing is a standard 6306 ball bearing. These numbers are meaningful an upon looking it up (
http://www.engineerstudent.co.uk/bearin ... ained.html) it appears that it should be possible to get one at your neighbourhood bearing and industrial supplies store.
Breaking apart the number:
6 - Deep Groove Ball Bearing (Single row). Typical ball bearing. Handles light axial loads as well as radial loads.
3 - Medium strength.
06 - Bore size. 06 x 5 = 30 mm bore.
There seems to be nothing special here except:
The right side bearing has a hole in the outer race that accepts a pin that locks it in place in the case to prevent it from rotating. It also allows the bearing to resist axial thrusts. I don't remember if the left side takes a pin but the parts diagram doesn't show one. My guess is that if you can find a place that sells bearings they should be able to help you out for much less cash.