Proper sequence for ownership transfer

I would like to transfer 2 Ring Pro doorbells to a different account. The complication is that one of the 2 Ring Pros has failed and needs to be replaced. Ring Protect was recently renewed for both. Should the replacement Ring Pro be added to the account prior to transfer? Will Ring Protect be available to the replacement Ring Pro? Then would both doorbells and the unexpired portion of Ring Protect transfer to new owner? Thanks, Paul