For any public or password protected link your clients will access as normal. If they need to sign in to their account they will also go to https://legacy.mediazilla.com.
The new website will have a link directly to the legacy site for those who have not yet migrated.
When your membership is migrated from the old platform to the new, your clients will be migrated at the same time. Once migrated, your clients will sign in on the new platform at https://mediazilla.com.