The CC offer has to be worth the equivalent of $1,000 or more to consider it. Any annual fee must come with a perk to keep the card.
With that being said-we have the following.
All major airline cards-SW, AA, Delta, United. We have no luggage cost worries. The SW annual fee($99) gives each of us 6,000 miles-we booked one way flights from Cincinnati to Vegas that were $117 cash for 5,878 points, so essentially a free flight. Delta gives us a one time RT companion pass for any domestic flight when the fee is due ($195).
Chase Freedom-use it alot-pay it off monthly. We have over $1,500 cash built up there in the past 2+ years.
Hilton Amex-tons of bonus points, a free night with the annual fee. We are pretty loyal to Hilton properties so building up points is great. Love the 5th night free when booking with points-stayed in DT San Diego for just over $500 with breakfast daily last month.
We had the Disney Visa, but rarely used it as Chase Freedom was a better card for us.