For the transmission, go with MaxLife Dex/Merc. I beilieve that they state it meets the requirments of SP-III
For the brakes, I'd think that your manual says to use DOT-3, and DOT-4 would be an upgrade. Either will work just fine.
For the power steering, it looks like it was most likely filled with PSF-3 from the factory which was a DexII based ATF. MaxLife will work in this instance, but if you are gunshy about putting an ATF in your power steering unit the dealer now carries PSF-4 which is synthetic fluid. I cannot find what it is based on, so there are no suggested alternatives to it. Looks like in 2012 Kia started using PSF-4 as a factory fill. It's also available at Hyundai dealers, I'd buy based on best price.