Typical Set Up:
TS-820s - AT-820 Manual Tuner - SWR Meter - Antenna Switch Pos #1
What are you using the SWR meter to measure?
That’s a serious question, because they are most commonly
used for adjusting an antenna tuner, and for that purpose,
need to be between the radio and the tuner.
Radio -> SWR meter -> tuner -> antenna
Now, if each radio has its own tuner
and SWR meter,
and you are just using this meter more to check for
catastrophic antenna failure, then placing it in the common
antenna lead might make sense. But in that case, you can’t
use it for adjusting any of the antenna tuners.