There isn't an 'order rule' that you need to follow with Citi as you would with Amex (whereby it matters for signup bonuses). I'd personally go for the highest, most meaningful welcome offer + benefits first (for me that'd be the Citi Strata Premier right now). Then I'd add additional cards with smaller welcome offers / no annual fee but good reward multipliers.
Right. It's not a 'family rule' whereby you need to get cards in a certain order. With Citi, it's common to have an 'individual card rule.' For example, with the Citi/AAdvantage Platinum Select Card, the terms say the following:"American Airlines AAdvantage® bonus miles are not available if you have received a new account bonus for a Citi® / AAdvantage® Platinum Select® account in the past 48 months or if you converted another Citi credit card account on which you earned a new account bonus in the last 48 months into a Citi® / AAdvantage® Platinum Select® account."
There isn't an 'order rule' that you need to follow with Citi as you would with Amex (whereby it matters for signup bonuses). I'd personally go for the highest, most meaningful welcome offer + benefits first (for me that'd be the Citi Strata Premier right now). Then I'd add additional cards with smaller welcome offers / no annual fee but good reward multipliers.