Floodlight vs spotlight - which to chose?

Use case: Above an outside stairwell in a “walk out” basement, where the door to the basement is below ground level (ie top of the door is ground level). Goal is to light the stairs / doorway as needed via a regular indoor switch (and stay on until we manually turn it off), plus have the motion detection and camera active at night and when we are out of town. The stairwell is about 4 feet from our sun porch so I don’t want to get alerts every time someone is on the sun porch (ie I would like to be able to limit the motion detection to only the stairwell). 1) Can both the spotlight and the floodlight meet this use case? 2) Does the spotlight give sufficient light to light a whole staircase? Currently, we have a regular, not motion activated floodlight above the door, with one light removed so it doesn’t shine in to the sun porch.