You don't need a large budget to find compelling art that you'll be proud to show in your home. While most cities have galleries and boutiques that sell the art of accomplished artists, it's possible to find original artwork on your own.
Self-representing artists sell their work directly, so you don't need to visit a gallery and can usually pay less for a piece of art. Check your phone book for artists' studios in your area. Many artists sell their work straight from their studio. Also, many artists will set up a stand in high traffic areas like shopping centers and farmer's markets, so keep an eye out for them.
Many self-representing artists sell their work over the Internet, either on their own websites or through online auction sites. Use an internet search engine and the search phrase "self-representing artist." You can buy pieces through these websites, though you might want to contact the artist before you buy to make sure that it's original.