Merci.
After all is said and done — I hope — the solution to transferring files is a USB thumbdrive (as you suggest), onto which I copied all of my iMac OS 9 files, awaiting the new iMac for to copy same. All other file transfer suggestions, according to Apple tech support, would be appropriate for Mac OS X to Mac OS X migrations (but not for such from Mac OS 9).
We shall see.