I should get going is a soft announcement that you are leaving. Well, I should get going.
It is said before standing rather than at the door, which gives everybody warning. It is a shade less formal than I'd better be off and means the same thing.
1phrasei should get goingA soft announcement that you are leaving.
“It is nearly ten, so I should get going.”
i should get going is a phrase.
Practised in Small Talk & Everyday Phrases