Congrats on the AMEX approval. I can probably relate somewhat to how you feel, because when I first started out on here I learned a decent amount, but still didnt know some of the heirarchy either.
On the application page, if you scroll down a bit, there is a form you can fill out to see if you prequalify. I was excited when I finally did, however my app is still in "processing" status after a week abd a half. But if you want to guard your inquiry count, it may serve you to stick to prequalfied offer from the lender site itself. Recommendations from anywhere, including Credit Karma and even this site, are not reliable.
If you want to google the "credit pulls database" (even though its part of a less than friendly/reputable board), there at times can be some good data, though it's often far from a complete picture.
Im not sure if you already said, but is there a reason you want multiple American Express cards now instead of grabbing one from another company and building a bit of a reputation with AMEX before trying again? You very well may be fine to try again relatively soon, but you also might increase your odds if you build some hisrtory with them first.
