Copying your Bulwark folder to all your devices will help, but any new wallet addresses you make will need to be sync'd over to all the others.
You could potentially use a service like Google Drive to sync your Bulwark folder between all your devices, which would also be convenient for ensuring you dont have to keep redownloading the blockchain whenever you move between devices, but that would then mean sending your wallet.dat over the potentially insecure 3rd party network.
I'm pretty sure that's not gonna work. For instance, when several comps write to the logs, they all want to sync that, which results in conflicts.
True, I was just throwing ideas about.
Answering your core question, if you transfer the wallet.dat file and keep updating them all with eachother from time to time, you will be fine.