You should be able to just copy the whole folder ~/Library/Safari from the 10.2.8 disk right into ~/Library on the 10.3 disk. Then launch Safari. I don't have 10.2.8 anymore now that I installed Panther, but I think the location of that folder is the same. The actual file that you need should be ~/Library/Safari/Bookmarks.plist so you can just copy that if you like.
~ <-- refers to your home directory in case you are wondering.