Anybody know how to get really strong cards to start my base deck off? I have a ton of SR's and R+'s, as well as a SR+. However I want my deck to compromise of really strong SR and any potential SR+'s. I'd appreciate any help!

Step one: Sell your soul to Raise Draw. The boosted cards in there are super-powerful, and with a 10% chance for a SR and a 2% chance for a SR+, the time is never better lol. Personally, I would wait until the Raise Draw refreshes after maintenance so that the cards you get will be boosted for a longer time period. However, keep in mind that the strongest cards are paywalled. If you are the type of player who is willing to spend money on the game, the Kingdom and Monthly Boxes (which will be refreshed after maintenance, so don't buy them now) have 4x boosted cards, ready to be HP'ed with Sids (and other goodies) included in the box.

 

Another thing you can do is the ticket exchange. Every day when you log in, you get the little roulette thing with the moogle, with the chance to win up to 3 gold tickets, with one gold ticket won each day as a minimum. You get bronze, silver, and gold tickets from missions and from the daily win/loss Raid Boss event. While these only get you SR cards that are not boosted (using the Gold tickets), they are far more convienent (and relatively easier to get) than Raise Tickets. 

 

Playing through missions is another way not only to get SR+ cards (especially once you hit later stories and Olypmus), but also the coveted Yen Sid SR(+), which can be used to HP your SR and SR+ cards. Also, any SR+ card can be strong in Ultimization, so once you hit that area of strengthening in your deck, ultimize the cards you like. 

 

With the anniversary events right around the corner, you'll be getting plenty of freebee boosted cards in the upcoming weeks, in addition to the potions and ethers and glorious log-in bonuses they give out. 

 

Hope this helps!