The four systems you will meet
Multipoint lock. Standard on modern doorsets in every material. Lifting the handle throws bolts, hooks or rollers into the frame at several points up the height of the door, then the key locks them there. It spreads the load and it is why a modern door resists being levered.
Mortice deadlock. A lock set into the edge of a timber door, throwing a single square bolt into the frame. Operated by key from both sides, and common on older timber doors, often paired with a nightlatch above it.
Nightlatch. The sprung latch that closes when you pull the door shut, key from outside and knob from inside. On its own it is a convenience rather than a security measure, which is why it sits above a deadlock rather than instead of one.
Slam lock. A multipoint lock that engages when the door closes rather than when the handle is lifted. Common on communal entrances and on doors people go in and out of all day.