Transferring LARGE files from Mac Pro to portable hard drive

I have a problem that I can't seem to find a direct answer to in regards to transferring very large video files from a Mac Pro to an external hard drive.

I have 4 QuickTime movie files with sizes of 32GB, 37GB, 35GB and 41GB respectively that I need to transfer from a Mac Pro to an external hard drive.

I know that I cannot transfer these files to an external hard drive that is formatted as NTFS (Windows NT File System).

My question is, can I transfer files that large to an external hard drive that is not formatted as NTFS?

If I have an external hard drive that is formatted as FAT32, will I be limited to the 4GB file limit?

Do I need to get a new external hard drive and format it as ExFat?

And is there a certain specification I should be looking for when purchasing an external hard drive for this purpose?

Here is what I am working with:

Computer:

Mac OS X Version 10.5.8

Quad-Core Intel Xeon

Video files:

QuickTime Movie (32GB and larger - approximately 1 hour of HD video for each of the 4 files, total of appox 4 hours of HD video)

HD files with Apple Intermediate Codec, Integer (Little Endian), Timecode

Thanks in advance!