Thank You For Your Service

"Thank you for your service."
I hear this more and more often these days, especially around Memorial Day and Veterans Day, and I'll admit it's gratifying. It's nice that people recognize, not only the sacrifice I made for our country, but that of so many more like me. Some were called to give more than others, but all stepped up and said they were willing to do whatever it took.
My issue is, how do you respond to that? I'm thankful that people recognize it, and I'm thankful more and more people appreciate veterans and their service to our country, so "thank you" seems appropriate, but just sounds wrong..
"Thank you for your service."
"Thank you."
See what I mean? How many thank you's can you fit in a conversation?
"You're welcome" seems grammatically correct, but doesn't work for me either.
"Thank you for your service."
"You're welcome."
It sounds like I'm taking credit for something far greater than me, if not downright smug. Perhaps I feel that way especially on Memorial Day, when some gave all, and I walked away relatively unscathed (yes, believe it or not, I was the way I am before the Navy got a hold of me). I don't know. It just doesn't sound right.
So I guess it's more of a poll question, especially for my veteran friends.
"Thank you for your service"
What do YOU say to that?