Is there a rule about when each of "kite m", "lese m", and "ban m" is correct for "let me (do something)"?

You may use kite m, lese m, or ban m anytime you wish.

Although kite m and ban m are more popularly used.

They're mostly interchangeable.

Example, you may say:

Let me help you.

Kite m ede ou.

or

Ban m ede ou.

Let me see it.

Kite m wè li.

or

Ban m wè li.

Let me taste it.

Kite m goute l.

or

Ban m goute l.

Let me show you.

Kite m montre ou.

or

Ban m montre ou

Ask me anything