We moved 4 times before I turned 16, for my dad's jobs. Every single time, it was 100% paid for by his company, and they even helped with the sale of the house (paid a portion of the realtor fees) and down-payment assistance on a new house as part of the relocation package. Moving doesn't always have to be expensive. If we were still living in the first house my parents bought, it would have only appreciated 3%, total, over the last 40 years. They bought it in 1982 for $60 000 and it's only worth $205,000 today.
That is a TERRIBLE return. Had they stayed there, they would have ended up sinking more money into that house than it will ever be worth.
In contrast, the last house they bought before retirement appreciated 95% in just 10 years. They sold it and made out like bandits on that one. Moving ended up being quite lucrative for my parents.
You never know with housing. It can go either way.