Hi Mike,
While one really needs to get into some pretty decent maths and physics to fully understand and work with these at a professional level, conceptualising things by way of 'mental pictures', as you (and I and most other storm chasers are doing) is more than sufficient to gain a greater understanding and appreciation of what you are seeing. eg, the concept of cyclonic and anticyclonic shear (w/r to jetstream or an RFD surge), simple as it is to someone with a met degree, came to me when I was kayaking and watching the opposing vorticies generated on either side of the paddle as I pushed 'backward' through the water 8)
Anyway, back on topic, I believe it was Fujita who defined misocyclones as shallow circulations with diameters less than 4 km. They are more or less transient eddies along stationary or slow moving wind shift boundaries near the surface. As opposed to supercell tornadoes (we can discuss later), landspouts occur in association with shallow convection (eg congesting cumulus) or during the early stages of deep convection prior to development of a downdraft and surging gustfront that would likely disrupt any misocyclones present. So, you could imagine these shallow invisible misocyclones (not associated with convection per se) lazily spinning away when all of a sudden, by chance, they become vertically aligned with an updraft - it is very much a atmospheric serendipity. In this case, the misocyclone will be stretched vertically to some extent through the updraft, will contract in scale horizontally and hence the rotational velocity will increase. In some cases, this vortex tube will be sufficiently intense to produce a landspout tornado that will connect with the cloud base. When the storm matures or when the updraft - misocyclone pair are 'divorced', then the whole thing breaks down. These are usually, not always very transient events and the tornadoes weak for the most part (not always!). Don't confuse moist convection (that generates the cumulus or cumulonimbus that you see above with the misocylone itself (ie the air current if you will).
Any others please feel free to add more