I received an email from square which stated I had to move my current store to the new store by May 20. I have no idea what to do.
To clarify, are you referring to your online store? This may be talking about the New Square Online Store, which you can access at the link provided or from your Square Dashboard.
The link did not work and I don’t understand why I have to move my current online store. I don’t need curbside pickup or delivery
It's not just about pickup and delivery, there is a whole new platform that is much more integrated. Try navigating in from your Square Dashboard and clicking 'Online Store' in the left rail. If you provide a bit more detail, it may help.
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