I now have five Chase personal cards for a total $72k CL. I have never gotten any credit limit increases or canceled any of my cards. I have gotten instantly approved for each card and was just instantly approved for the CSP today.
Amazon.com opened in Oct. 2010 - $3k CL
Sapphire (was never Sapphire Preferred) opened in Apr. 2012 - $10k CL
Hyatt opened in Aug. 2014 - $25k CL
Freedom opened in Dec. 2014 - $12k CL
Sapphire Preferred opened today - $22k CL