I think that the EQ mount would take less space, since you can store the scope
with the OTA at the vertical position. I believe that most AltAz mounts do not
allow this, though I suppose you could just remove the OTA and stand it up by
the mount. As to pier vs. tripod, it is probably a wash, if you can collapse
the tripod to have the legs vertical or nearly so.

Clear, Dark, Steady Skies!
(And considerate neighbors!!!)