Do I have to take my rental signs down during the pop up shop?

If you are a commercial broker and you want to continue advertising your space for other future long-term and short-term tenants, you can do so, but in accordance with your agreement with the current tenant. Ideally, you mention the sign in the "House rules". In addition, both parties can work out an agreement to continue to do showings and tours in the space while the shop is open.