Fly American Airlines since you are from Texas, isn't Dallas one of their hubs? If you are an American Airlines Aadvantage member go to their website and look under their special promotions sections, I beleive right now they are giving bonus miles when you fly to europe, but you need to sign up for the promotion before hand. American Airlines flies to London, but I don't think to Amsterdam.
You should be able to get a roundtrip ticket to London on AA for about $500.
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