Many compact vacuums can tackle big clean-up jobs while taking up just a fraction of the storage space of a full-size machine. The first step is deciding what type you want. A thin, stick vacuum is lightweight, looks cool and you can hang it behind a closet door or on the wall in your mudroom. Or perhaps you’d prefer one that folds up into a more compact version of itself at storage time. Then again, maybe a remote-controllable vacuum is more your style. Let’s assess.