Discover credit cards do not have foreign transaction fees. For example, the Discover it Miles credit card can be a good option for you. The card has miles rewards program and matches earned miles at the end of your first year. So the bonus for the first year is basically determined by the amount you are going to spend and if you spend $34,000 in first year, you can get 100,000 miles. The math is simple: every dollar you spend earns 1.5 miles and $34,000 in purchases will bring you 51,000 miles. Then Discover will turn them into 102,000 miles at the end of your first year. Everything is simple and you have the whole year to earn as many miles as you wish.