I've owned a Tri Leva since the mid eighties and have changed the belts about every five or six years. Once you get the hang of the adjustment process, it all works well. The speed selection levers double as clutches so stopping, starting and speed changing (between the three speeds available) is almost instant. Engaging & dis-engaging the back gear is a bit of a pain, it's more difficult to raise the spindle/ belt cover on a Tri Leva, so it's easier to leave it in position and just use the cover behind the bearing as Nottingham intended.). I have an Allen key with a shortened business end, just for this purpose.
It is important to tension the motor drive belt first because that will affect the distance between the three drive pulleys and the spindle. I now use one of the segmented, cogged belts & it has been completely satisfactory. To get the right grip, this belt should be tensioned so that there is no slack but it's not tight enough to pull the driving (top) spindle down appreciably.
Having done this, with the other three belts slackened right off, adjust the tension of each belt until it just grips. This may require a lot less tension than you expect. The belt tension should be just about discernible as the speed selection lever is pulled down. If it slips when you're taking a normal cut, just tweak it up slightly.
With the motor running and with all three levers right up, the main spindle (mandrel to some) should not revolve at all.
Hope this helps.
Andy