Welcome to AF kaseykahnefan, if you want to transfer all the data from one card to another, plug the phone in to a pc and copy paste, or just use a usb card reader and do the same thing, copy to a folder on the pc, then copy back to the bigger card.
if you have a pc and it has a card reader, you can put the old one in and copy it to pc. Put new one in phone and format it, stick it in reader and drag stuff you want to new card. I have used a program named SD Formatter to format, as well.
If you don't have a card reader and have a cable, you can hook the phone up to pc with cable and drag stuff to pc first.
If you can get on wifi, use something like an app called airdroid to move things to and from pc.
You could also use some sort of online storage as a stepping stone.