This is all new to me, but we just bought a large, 'luxury' RV with three (!) Roku TVs. I assume I can turn on any of them, use the remote to activate that particular TV and register/activate it. But I already subscribe to Paramount+ at home, Netflix, Amazon Prime, Amazon Music, Spotify, and Pandora at home (no Roku TVs at home). Do I have to subscribe to these separately on Roku and pay twice for them?
You should be able to use any subscription that you pay for directly with the provider without having to subscribe again. When you first launch the channel/app it will prompt you to enter your credentials. Some channels/apps have been known to offer only a new subscription (through Roku), but hopefully that's all been ironed out by now. You'll have to enter your credentials on each Roku device. The one (and possibly only) advantage to subscribing through Roku is that you don't have to enter your credentials on each Roku device.
A very few channels limit the number of devices permitted on the account or simultaneous streams.
Even if subscribed directly and use the channel app.
The channel app will let you know if there is a restriction.