The concept of networking your computers together is probably the best thing you could do to them, software-wise. If you only have an eMac for "older Macs", then head to eBay or ask around here (Or LEM Swap) for a LocalTalk to Ethernet bridge. I have a Farallon iPrint, there are others here with stuff like various Asanté models. It's all not that hard. Here I found some for you
-- two for 10 dollars and shipping? sounds like a deal to me.
Disk Copy ...doesn't make floppies like that. It can make disk images, write disk images, mount, convert some, verify, and not much else. I prefer ShrinkWrap because it can do all that and has a batch floppy mode. It also does not have the option "Make A Floppy..." blurred out -- it can still write disk images to a floppy on a Mac that didn't come with a built in drive. It also can create images with custom sizes, 800Ks, 400Ks, I think it supports PC images (not sure), and more.
What you are saying is to split the installation directory into multiple floppies and recombine them. I'd still look strongly at networking -- according to my results, a floppy writes at about 8 or 9KB/sec, and LocalTalk is about 3 times faster than that. Better is Ethernet, but...yeah. You also don't have to deal with the basic properties of floppies that we all know too well -- sudden failures, slow copying and reading, interrupting the CPU (8.something and later let you copy in the background, but...it's still interrupted by user processes).Here is the section
where I discuss disk images, and I talk about LocalTalk here
. It really is not that difficult.