I would probably take a crack at the Citi HHonors - your scores look really solid and since you already have an existing line of credit with them I'm guessing that would probably work in your favor on a manual review of your account.
I don't know that I'd bother with more than one of the Visas; just a personal quirk though. I tend to carry one from each issuer for backup purposes; in case there's a glitch on the MC network and I get declined, I can use the Visa or the AmEx.
If you really want to deal with paying the annual fee on the AmEx Plat, I'd wait for 3-6 months after opening whatever Visa you pick and give it a shot. It is a great card (my dad's got one and loves it), and the worst that can happen is they say "no thanks!"
Hard inquiries do suck, but they only affect your score for a year, and even then not by a whole lot if you've got a relatively established history already.
Those are my two cents anyhow.
Codemonkey, I read your other thread, and I'm impressed with your knowledge and progress in this area, so I'm sorry to have to contradict some of your statements here.
Hard inquiries are actually more damaging to those with established histories, since any negative factor typically hits people with long, established histories worse than it hits those who are just establishing their credit.
Also, when it comes to Visa vs. MC, that distinction is virtually nonexistent. Yes, they are separate companies with separate brands, but it's much, much more important to get cards from banks you want cards from, with the rewards programs and terms you want than it is to worry about having "too many Visas and not enough MCs" and so on.
Good luck. Let us know how it goes!
everyone, thanks so much for your insights. I probably will only pick one or two Visas. The first one will be the more difficult to get of the two and the second will be easier (so I have a better chance even after a previous hard inquiry).
I am definitely considering the HHonors Visa because I do have a good relationship with Citi (I have been a member for over 3 years). After that I'm considering either the WorldPerks or the Marriott depending on which is easier to get.
This is highly counterintuitive to be sure - you would expect that one of the benefits of an established record would be more "wiggle room," so to speak.
Though on the flip side I suppose that as your score improves the standards become more demanding, so it's easier to slip down than it would be in a lower score bracket.