Keep or Cancel

I’ve don’t have a great credit history, but it seems to be getting better!

I have 3 credit cards, 1 overdraft (interest free for at least 6 more months, potentially 18 months) and a loan.

The Credit Cards are:
1) approx 31% APR Balance £800, limit £800
2) approx 39% APR, Balance £380, limit £1450
3) 0% on BTs for 32 months, Balance £0, limit £3700.

Card 3 has only been approved today so once I get it fully set up I will obviously transfer the other two cards on to it. My question is should I then cancel the other two cards, or cut them up and not use them but still keep the accounts? What would be best for my credit rating?

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