Moving to USA from Europe - transferring funds

Will it possible to transfer money from my current Dutch bank account to a new Monzo US account? If so, will there be any costs on your end?

As the currencies are dofferent. I don’t believe it is possible to do a direct transfer u will need to us an intermediary (e.g PayPal)

Dutch account -> PayPal -> Other account

Use TransferWise as it’ll offer you the best rates for international transfers.