These days it's easy to find your birth (or natal) chart online. With a birth chart, you're able to see the sign and house position of all your planets. You can also use the chart to study the relationships between the planets, called aspects.
Here are three sites that offer high quality charts. You'll need your birth information -- date of birth, place of birth and the time. You can still get a chart without your exact birth time, but it won't set the rising sign, and house positions.
Astrodienst offers professional quality birth charts and the site is just a great overall resource for astrologers and beginners alike. Look for Chart Drawing/Ascendant for the basic chart. Your birth data is saved and available each time you go to the Astrodienst site from your home computer. This makes it easy to go back as you're ready to look at other kinds of charts, or compare your chart with someone else's (known as synastry).
Cafe Astrology is a great site with engaging interpretations. Once you've put in your data, you'll have access to the chart, and the interpretations to go with it. It offers insights on both the strengths and weaknesses of the planet sign/house positions and aspects. But the first thing you'll see is a table chart with your birth planets and their signs, which is a fast way to size it all up rather than finding them on the wheel.
Like the other sites listed here, Astrolabe doesn't make you jump through hoops to get your birth chart. Just input the data and the chart comes right up in seconds. You can even save the chart to your hard drive. The chart is followed by interpretations of each of your natal planets beginning with the Sun sign.