When you travel Internationally or Domestically, do you take your nicer things/valuables?

For Int'l travel, I always leave my E-ring and nice purses, jewelry, etc. at home. We never want to draw too much attention to ourselves and don't want to risk getting things stolen or be a target. I have a "fake" e-ring I always meant to wear for traveling, but I think I've only taken it once. I know a lot of people who always take their nice purses and wear expensive jewelry regardless of where they travel! I was just reading something about someone who wanted to take like 3 Chanels in her checked luggage!

Domestically, I would usually pack/dress as I do at home, but only what I will wear on the plane (carry-on).

What do you do?