"Space is big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the road to the drug store, but that's just peanuts to space." -Douglas Adams
I like to apply the light year to shorter distances. We have a feeling for how many seconds are in an hour, or hours in a day, days in a year. etc. So, in a nanosecond (one billionth of a second) light travels about a foot. In the time it takes your 2GHz computer to clock just once, light has traveled about six inches. It takes a little over a second for light to get from the earth to the moon and a little over eight minutes to get from the sun to the earth. It takes a over four hours for light to reach Pluto (the farthest "planet" in our solar system, but it takes over 4 years for it to reach the nearest star. It takes about 70 years for the light from the stars in the open cluster we call the Big Dipper to reach us and over 100,000 years for light to cross our galaxy from side to side. The closest real galaxy is Andromeda and it is the farthest object you can see with the naked eye. It takes over two million years for light to travel from there to here so when we look at it we see it not as it is but as it was two million years ago. The universe is over thirteen billion years old we think and so the light we see from the most distant objects has been traveling for over thirteen billion years!
Animation of the speed of light on a scale model of Earth and the Moon, about 1 1/3 seconds: