All I have had for 20 years is a Visa card with a $4000 limit. Never asked for an increase.
I had been interested in AE recently because of the extended warranty and buyer protection benefits. I have had AE offers in the past, but it was for cards with annual fees which I did not want.
Last month I got an offer for the BC Eveyday Cash with the following -
1. 150 Reward Dollars after spending $500 in first 3 months (normally 100 w/$1000)
2. 0% introductory APR for 15 months (normally for 12 months)
I did some research and found out this was a good card to get. I applied online and was approived instantly.
I received the card and it has a $7600 limit. In researching I found this website and the stuff about asking for a 3X increase after 60 days so I will give that a try.
Of course I now use this card in place of my Visa wherever I can.