I have two CCs because of this. One I use for daily purchases, and the other I use only for recurring charge accounts. #1 often gets fraud alerts, as you would expect. It is often changed / replaced by my bank. #2 is stable and changes every 3-5 years.
Because of the fraud alerts on #1, I have a backup, so I really have #1a and #1b.
ETA — and this topic now connects to another thread,