Hello - I live in the UK and am in the process of moving back to the US. I have a house I am selling here which has been my primary residence for the past 7 years which I expect to make a decent profit on. I would like to use this money to buy a house in the US. Are there any restrictions on the amount of money you can transfer to the US from the UK in this situation? Both countries do not charge capital gains on the sale of your residence and I declare and pay tax on my global earnings in both places.

This is not an uncommon problem. If you use a multi national bank, you can deposit in an account where you live and take it out when you get back to the US. However, transferring capital gains, if possible, is another problem.