So presumably your location of living just isn't a factor in the compensation determination (which I think is the right way to do this, compensation should be based on market, not chosen geography).
If it's a small number of folks, there won't be much impact on anything that doesn't actually have a constrained supply.
For example real estate prices won't be affected much unless the new folks are bidding against each other for the same properties. Without a steady stream of folks coming in, a few sellers immediately getting their asking price will only bump estimated values of the surrounding homes for a while. To get a more permanent RE price bump everyone would have to move into the same neighborhood to get their kids into the same school, or to get the same view, or they all want riverfront property which is in short supply, or something similar.
About the only scenario I can plausibly construct for a real cost increase that actually affects locals (from a small number of well heeled folks moving in) is if all the newcomers move in at the same time and renovate or build their homes simultaneously, then the local cost of construction labor will go up temporarily.
Can you elaborate on what this means? Who exactly will raise the cost of living and how?
Do you mean that these municipalities would somehow intentionally raise the cost of living? That doesn’t really make sense.