I jus talked to them today because i am in the same situation as you are. Got a $1500 Rewards card and a $2K Apple card both 7 months old. I am doing the same thing. I will close Rewards card and move the limit to Apple card. I just called them and asked them today and the CSR said i could certainly do it provided that one of the account is at 0 balance. Why do i want to do this? Barclays is very conservative in general with cli's. I did run $10K thru my Rewards card which has $1500 limit in less than 3 months, and about $13K on apple card which has only $2K limit and paid it off all before statement. Than kept using them but just not as heavy. Come 6 months, no auto cli, 7 months, no auto cli. No apr reductions, nothing. So i will close one card, move the limit to the other, and have one $3500 card instead of 2 cards. Put a $10 monthly charge on it and throw it in the sock drawer. It will help raise the avarage limit on my cards, and i get to keep the 7 months on time payment history for 10 more years. You can do the same, as far as the time frame, i dont think there is any limit but i would at least keep them both open for a few months before i do the CL transfer. This way it does not start reporting as "Closed Account" to the credit bureaus. You can even wait for 6 months and get a cli on both cards and then combine them for a bigger limit. There is no annual fee, so if you are approved make the best out of it.
6/14/15: Equifax 576 Experian 542 Transunion 571
8/17/15: Equifax 626 Experian 619 Transunion 622
9/28/15: Equifax 655 Experian 636 Transunion 641
11/11/15: Equifax 698 Experian 687 Transunion 672
Short Term Goal Score: 720 Across the board
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