Where can someone go to book flights to Barbados?

Without knowing what city you are in, it's difficult to answer this question, since bookings are made from one city to the other. So, let's say you were in Boston: one option is to go to a travel agency in person and let the agent book your flights for you, and also help you get a hotel and rental car-- every major city has a travel agency, and they can be very helpful if you are not experienced at booking flights. Or, if you prefer, you can do the booking yourself, in the comfort of your home, by visiting a travel website (such as Expedia.com or Travelocity.com). You can also book from a particular airline's website, like American Airlines, Virgin America, or Jet Blue. You would fill in the times you want to travel, and the websites would offer you various prices to choose-- some flight times are more expensive than others. You would also need to have a credit card to pay for the flights.