It's nice that this is your preferred way to travel, but I live in Amsterdam and our city center is ravaged by tourists and the companies that profit off them. Enabling restrictions that limit overtourism, and that actively work to reverse the monoculture and disneyfication of our city are so incredibly important. Your ability to budget travel Europe with a family of five, due to your budget constrains, should not drastically raise rent and house prices. The center should belong to its residents.

Not only do short term rentals like airbnb drive up the prices for regular rent and ownership, but they negatively affect everyone who does manage to afford a spot. Living in an apartment block with one or several airbnbs is awful, destroys the fabric of neighborhoods, and especially introduces plenty of loud guests who don't care about the neighbors within the block.

Airbnb and similar platforms are exploitative of the environments that allow them. Your comfort to travel with a large family for cheap is not defendable against the negative impact on residents.