I'd cool your jets, because you're going to take some hits on your points because of your new accounts, AAoA, as well as the inquiries are adding up. I'd stay put for probably 6 months to a year so that these new inquiries age a bit and creditors don't get worried. Only reason I say that is because I'm a vicitm of new accounts and iquiries and I've gotten denied because of that recently. But Congrats on the new cards!
Starting Score: 620 FAKOI figured the scores would go down some, really don't need anything new at the moment. I applied for home depot for some minor renovations to my house, and applied for Walmart because I shop there constantly and figured I should apply just for that reason alone. The Discover, Nationwide and Citi apps I was hoping for the large CL. Maybe I'll hold off for a couple years 
no big deal
It means financial review. What is meant by "Trigger Amex" is that the routinelysoft pull its members and if they see a bunch of activity all at once, it could trigger them to do a financial review on you to make sure you're still a reasonable risk to continue having as a card holder. What they'll want is previous year tax information and what not.But since you're an authorized user on the Amex I don't think they'll stress much on you.