As a counterpoint to Harm's perspective, I'll say that I've used Quicktime Pro since early version 6, and I haven't ever had to uninstall or remove it to get Premiere Pro to work, or to work with the QT codecs. Quicktime has never been a problem for me, and it's been a lifesaver on more than one occasion.
Adobe has some custom QT importers for Premiere Pro that are 64-bit, and you don't need QT installed to take advantage of them. But if you have clients that can only provide you with MOV files, or that demand MOV files for delivery, then you will need to have Quicktime installed. Further, some applications like After Effects, (maybe)SonicFire Pro, and Cinema 4D require Quicktime to be installed to take advantage of all their features and plugins, so you can get boxed into the Quicktime corner that way as well.
No need to fear Quicktime. Just be aware that it can potentially be a source of problems and conflicts with Premiere Pro. So far, that hasn't been the case for me.
Jeff