General guideline is 2 chase cards per AOR, much easier to explain to reconsideration why you need two cards than why you need three.
Do the Barclays and US Bank first, they are the most picky.
Might as well throw in the HA cards, since they'll combine into one pull.
Citi rule is 18 months between apps for the same card, 1 card app per day, 2max personal during 65 days.