Originally Posted by svirfnebli

Assuming you only have chase cards you're only 1/24. 5/24 counts for all credit cards not just chase. Also making assumptions that you're using the CSR as a regular spender and not using the others I would do the following

Mileageplus Personal - > Move available credit limit to CSR, then cancel
British Airways - Move available credit limit to CSR, then Cancel
Slate -> Product Change to Freedom for the 5x categories
CSR -> keep

Mileage Plus Business -> Keep this card, has decent benefits
Southwest Card -> If you dont use the benefits transfer credit limit to MP Business and cancel.

Will you take a hit? Maybe but it should be too severe since your available credit should remain relatively constant. Then open the Ink Preffered Business. They might deny you initially but when you call in for reconsideration move credit from the mileage plus business card.