How do I change the device that google play has assigned to for app installations?

[AC Question]

My Galaxy 4s was stolen about a month ago. I have a device that that I would like to download my Google apps to. The Google Play app on the device doesn't work, but it shouldn't matter anyway, I have Google Play on my desktop. My experience is that once a device's Google Play app goes bad, it is almost impossible to repair. So I just want Google Play to know which device to install the apps on.