Along with costs on Rental you will need to consider how much you need to set aside for shipping and removal costs. Moving internationally is a huge journey and it is advisable that you hire a moving company. Relocation and shipping costs to New York from the UK can cost as much as £7,500. You will also need to think about the cost of Visas and other associated costs, so it could be good to set aside around £10,000 for moving costs.