Срезать describes your action, when you cut something growing, for examples срезать розу.
Нарезать means: you cut something in many small pieces: нарезать колбасу.
Вырезать describes cutting smaller thing from a big one: often from a sheet of paper: вырезать квадрат.
Порезать means often situation of injury: порезать палец.
Разрезать we use when a big thing must be cut to a couple of smaller part: разрезать лист бумаги.
Обрезать means cutting something along edges: обрезать углы.
I hope I could explain this for you. :-)