I presently have 4 Chase cards, and have had 5 in the past.
I staggered my applications a mos between each and made sure I was not an AU for my husband's 5 Chase cards at the time of my apps.
Each time I lowered the CL TO $5k so that when I applied I would have better chances for instant approval.
I am on my 2nd United, 2nd Marriott and 2nd IHG ( if you count the Priority card as the first )1st Freedom .
Husband is on his 2nd Chase SP and has 4 others, same deal.. stagger apps and lower CL.