I love wells Fargo because they have been generous with me. They gave me my highest line of $37,500. Rewards are not valuable as mentioned
(Formerly known as: Credit is my hobby (1.7M)/TCL objective)
you can get good limits mixed with better rewards elsewhere for the same hard pull. i won't talk you out of it but i think you should evaluate your goals and get cards based on that 
here's something to keep in mind too: a few of those cards can be condensed into one card meaning the fuel rewards card, BofA (assuming you're referring to their cash rewards card), and the chase amazon card can all be virtually replaced with one card: the barclay sallie mae. you get 5% cash back on gas (up to $250 a month), 5% cash back on groceries (up to $250 a month) and 5% cash back on bookstores, to include amazon (up to $750 a month)
so that one card can save 3 unnecessary card applications. the only category you're losing from those three if you went with the sallie mae is the 2x points on out to eat food from the chase amazon.
a good quick fix to that is getting your discover it card (which you want anyway) because you get a quarter of the year where your out to eat purchases reward you with 5% cash back and if you get the card before september 30 of this year then you're enrolled in their double cash back promotion so the 1% cash back you get on everyday purchases (to include out to eat purchases when not in a 5% cash back category) gain you 2% back instead of 1%, thus 100% eliminating the need for the chase amazon for at least a year.
also with the discover you may lose the need for the orbitz because in their discover deals (their online shopping for deals within the app or online through their site) you periodically get 5-15% cash back or a savings of $120 or an immediate 15% discount on travel (including orbitz) and with their double cash back then you can get 10-30% back from it. right now they have that deal going on and many others including department stores such as khols and dillards
just look before applying and wasting apps and your time
so that one card can save 3 unnecessary card applications. the only category you're losing from those three if you went with the sallie mae is the 2x points on out to eat food from the chase amazon.
a good quick fix to that is getting your discover it card (which you want anyway) because you get a quarter of the year where your out to eat purchases reward you with 5% cash back and if you get the card before september 30 of this year then you're enrolled in their double cash back promotion so the 1% cash back you get on everyday purchases (to include out to eat purchases when not in a 5% cash back category) gain you 2% back instead of 1%, thus 100% eliminating the need for the chase amazon for at least a year.
also with the discover you may lose the need for the orbitz because in their discover deals (their online shopping for deals within the app or online through their site) you periodically get 5-15% cash back or a savings of $120 or an immediate 15% discount on travel (including orbitz) and with their double cash back then you can get 10-30% back from it. right now they have that deal going on and many others including department stores such as khols and dillards
just look before applying and wasting apps and your time
Have you thought about amex bcp? It's one of the best rewards card out there with 6% on groceries up to the first $6,000. It also offers 3% on gas and I think another category. I have two bcp's to maximize cash back.