Falling is part of the sport so it's natural that this will happen. Falling with the right technique will keep you from getting injured. The first thing you should do is practice falling. To fall properly, do the following when you feel yourself losing your balance:  If you anticipate needing to fall, bend your knees and squat into a dip position. Fall sideways, leaning forward, and place your hands on your lap. As soon as you fall, roll over onto your hands and knees. One at a time, place your feet between your hands. Then, gently push yourself back up. Once you're comfortable skating around the rink doing swizzles, gliding, and stroking, you need to know how to stop. Stand together with your feet together. Push your feet apart while skating and stick one skate out sideways. This will push some frost off of the ice and cause your body to come to a stop. The motion is similar to skiing. Gliding is a form of marching on the ice that will help you transition into skating. March forward two steps and let your body glide forward slightly. Do this until you feel comfortable with it. Then, begin picking up one foot as you glide. In figure skating, you alternate between lifting one foot and another. Gliding helps you become comfortable with that feeling. Stroking is the same as gliding except you extend the motion longer. After marching, lift one foot as you glide, set that foot down, and lift the other. This is the foundation for basic skating. Repeat the process until you feel comfortable. After getting yourself gliding, place your heels together. Then, slide your feet apart. After this, point your toes together. Repeat this motion, leaving a trail in the ice that resembles an hourglass.  Swizzles help you go through the general motions of skating but keep your feet on the ice. Keep practicing swizzles until you feel completely comfortable with the move. Eventually, you can start lifting your skates off the ice in alternating patterns as you skate.

Summary:
Practice falling. Learn to stop. Do some basic gliding. Try stroking. Do swizzles.