No thanks. I've got it.

[Saneta]

http://www.english-test.net/toeic/listening/paying_the_fitness_membership_fee.html

Do you need any help carrying the bags out to your car?

No thanks. I've got it. - what does he have? why did he say that?

thanks

[Beeesneees]

'I've got it' - typical American informal phrase which basically means 'I can manage it'.
You might also hear it, even more informally but less correctly, without the 'have': 'I got it'.
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Cheers m' dears!