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An example being transfer the CL from the Newegg card to the WalMart or Amazon Card and just close the Newegg Card?
I don't believe so because of the different underwriting for each product. If your scores are over 650 you should be able to get a CLI on both the Walmart and Amazon just by calling in. I got $3500 on my Amazon through chat with scores similar to yours, and Walmart gave me $1400.
Was your CLI with Walmart and Amazon a Soft CLI or Hard CLI? I'm currently gardening at the moment.
Soft for Amazon, Walmart was my starting limit.