.25 is not a "small" stone chip. Yes you do definitely want to do something. that is a point of entry for rust to get started and it will only get worse over time. I would not go to a dealer or other body shop as they will have to repaint the whole hood, and as mentioned you will get another chip on the way home from the shop, Murphy's Law.
I just deal with the chips, using touch up pens, if you are careful it will not show much and will look a lot better than any bra that you can put on to "protect" the paint. I have seen what paint looks like once the bra is removed and the bras do more damage than what you are trying to protect from. I have never yet seen any car with a bra that I thought looked good.