The Story Behind This Bed
Storage beds are widely sold and poorly explained, so here is the practical comparison.
Hydraulic lift raises the entire platform on gas struts, opening one large compartment the full size of the bed. It gives the most volume and is the easiest to open - two fingers lift it - but the struts are a mechanical component with a service life, and they must be sized to the weight of your mattress. A hydraulic bed fitted with struts rated for a light foam mattress will not lift a heavy spring one.
Box storage is the same compartment without struts. Cheaper, nothing to fail, but the platform and mattress must be lifted manually, which realistically means it gets opened rarely.
Drawers in the side rails are easiest for daily use - shoes, linen, everyday things - but they take less volume, and they need clearance in front to pull out, which rules them out where a bed sits close to a wall or wardrobe.
Our usual recommendation: hydraulic for seasonal bedding and suitcases, drawers for daily items, and both if the room allows.