Hey @seamus – welcome to the community forums!
Do you always need to restart the computer, or have you tried manually turning off Wifi and then turning it back on again?
What the description of this problems sounds like, is some sort of connection is still being registered with the computer’s Wifi driver and isn’t correctly being restored when on a new network.
There might not be much info in it, but can you please provide your local-by-flywheel.log file? See this Community Forum post:
How do I retrieve Local's log file? for instructions on how to do so.
Finally, one other question I would be curious about – do you have any sort of VPN software or something that might be handling the network connection besides the Operating System?
Let us know a little more detail about this setup and we should be able to get you pointed in the right direction!