Called Amex and reduced the credit limit on my Hilton Optima by $2000. Then I called Amex again about the approval status of my online Delta card application. Told the agent I had just reduced my Hilton card limit. He was able to "move" the $2000 to a new Delta card and give me instant approval ($2000 credit is the minimum for a Delta card he said).

I didn't touch my Starwood Amex!