If one was going to do a mini app spree for upcoming 2015–16 travel use, would people here recommend first acquiring airline cards (Citi AAdvantage, Chase United MileagePlus), hotel cards (Chase IHG, Chase Hyatt), or the Citi Prestige card?

I doubt Chase will give me all three of the aforementioned Chase cards within a month or two, and I know Citi has a two-cards-in-65-days limit. I'll probably be applying for the Citi AT&T More Access card for the phone rebate, so I'll need to choose between the Citi Prestige and the Citi AAdvantage before I could apply again in mid-Jan. 2016. (Other than the first-bag benefit, the Prestige seems better (lounge access, fourth night free, etc.))

I already have all of the Amex travel-related cards that make sense for me, so I'm covered there.

Thanks for reading. Appreciate all feedback.