No, we won't move to Stage, Stage will come to us!
Stage is just on of the phases that a product goes through from development to production:
Dev -> Test -> Stage -> Prod.
If everything goes well with testing of Steemitstage, Steemit will be replaced by the one on stage testing phase, but we will not move to another page, we will use and go to https://steemit.com as we currently do.