I would be happy to show you my LongEz. I am the builder owner, with 2200 hours on the airplane. Bruce Hughes listed my old phone number. The correct one is 360-535-9562, can call or text. I know quite a bit about the Long, less about the Vari. Weather permitting, we could do a demo flight sometime. I live across the water in the Silverdale/Bremerton area, the airplane is hangared at the Bremerton airport.
In general, the Long Ez is a little roomier, has a bit better payload, longer range, slightly lower landing speed, generally similar flying characteristics, but probably costs a little more. I think the consensus is that a Long Ez with an O320 is a good airplane, but if you live at sea level an O-235 equipped Long is a good airplane. I flew mine with an O-235 for 1500 hours, much prefer the O320 particularly since I fly back and forth to McCall Idaho a lot and like the extra oomph for takeoff at that 5000' msl airport.
For two people, the Long Ez has a bit more room and I think I would lean towards a LongEZ if you really must carry two people around. Pretty limited in the Vari with two people. However, Vari owners can weighin here (pun intended).
Both have reasonable handling characteristics, there are issues with the two canards (easy to solve), construction issues, availability. Yes they can be stored outside. Mine was on a ramp for about 15 years, in California (Bay area and 29 Palms), Maryland, then Washington. Hangar better but not essential. Flew mine without a starter for 15 years; kind of a pain but keeps it light and simple, as designed. Love the starter, but have a more complex and heavier airplane now.
My recommendations? find a wellbuilt, minimally equipped, Long Ez with either engine, fly it for a few years then maybe start adding weight and complexity. While mine is IFR capable and equipped, consider it at most an occasional IFR airplane, particularly in the winter in this area where the freezing level is almost always below min vectoring altitude. There are enough vfr days to get in and out of the area.
Ken Koskella