As I know about and around can be used when we estimate something, for example,
I'll arrived around 3:00 PM.
I'm here about 10 minutes.
I want to know, are there any rules or idioms when to use about or around?
When used to indicate an approximate time (your first example), "around" is more common.
When used to indicate an approximate duration, either will do, but "about" is probably more common. No particular difference in register, though.
I'm guessing that your first example should be "I'll arrive around 3 pm" while your second should be "I've been here [for] about/around ten minutes".
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