Using old Time Machine with a new Mac -- Hints?
I am running macOS 10.12.5 (Sierra) on my existing Mac with a Time Machine containing 2+ years of backups. I am acquiring a new Mac and intend to set it up using the existing Time Machine. I then intend to set the existing Time Machine aside (for later) and set up a brand new Time Machine (new external drive) to use with the new Mac. What should I then expect if I have to use the old (existing) Time Machine to locate and restore an older file -- one that was not included in the initial setup of the new Mac? When I eject the new TM and connect the old (existing), will the new Mac simply say something like "I see you have connected an older Time Machine; would you like for me to use it also?"
MacBook Pro, macOS Sierra (10.12.5), Airport 7.6.7