How the load is going to be supported decides which of these three things you need. A chain block hangs from something overhead and pulls vertically. A lever hoist can be anchored anywhere and pulls in any direction, including sideways. An engine crane brings its own structure and stands on the floor. That question is settled before capacity, because a hoist with nothing to hang from is not a lifting solution at all.
Chain blocks are the simplest and are chosen on capacity and chain length, running 0.5, 1, 2, 3 and 5 tonne here. The chain has to be long enough to reach from the anchor point to the load and back, which is a longer figure than the lift height alone.
Lever hoists trade lift speed for versatility. Because the load is moved by a lever rather than a hand chain, they work where there is no room to pull a chain and can tension horizontally, at 0.75, 1.5 and 3 tonne. That makes them a recovery and positioning tool as much as a lifting one. Sealey run a hoist and crane estate alongside the Draper chain blocks and lever hoists.
Cranes matter where nothing overhead can be trusted. An engine crane at 2 tonne rolls to the work and folds for storage, a folding crane at 0.5 tonne suits lighter units, and a portable gantry crane at 1 tonne spans an area rather than lifting from one point. Questions go over WhatsApp on 07754288583.