BS”D
There are enough reasons to believe that the renovated houses will be transported to EY, and even a source (no time to check) that says the whole world will be transformed into kedushas EY.
Even the Lubavitcher Rebbe ZYA said that we have to prepare for 20 years ahead while living with the reality that Moshiach could come every minute.
When I jokingly told a Chabad shaliach who needed an expensive piece of property in the most expensive place in the US that if he waited 10 minutes he could get it for $2 because everyone would be moving to EY, the above was his very serious response.
Also for the record the song referred to in a prior post is by Abie Rotenberg and is called Neshomele.