Something like DropCopy?
DropBox is great, don't get me wrong, I use it extensively
But you may not want all of the bells and whistles and creating an account, etc.
Take a look and see if DropCopy meets your needs first
Have DropCopy running on both Macs, how do i copy and paste a weblink over?
I tried copy, but cant seem to paste it into the "wormhole"
Drag the address to a file (*.webloc) first and transfer that?
FWIW, besides Dropbox I'd recommend some kind of NAS for Time Machine and shared files if this is really a recurring thing.
B
Drag URL icon to desktop. That makes it a file that you can share.