Photographing children is always a challenge. They like to move around a lot and have short attention spans. Keep them busy doing something. This will distract them from the camera and cause them to sit still for a while, or at least move in a predictable manner.
Use fast film, a fast shutter speed and a zoom lens on your 35mm camera. Forget about tripods unless you are looking for a traditional type portrait. The 35mm camera will allow you to move around easily and the zoom lens will keep you at a distance to allow the child or children to relax better. Be prepared for anything. Kid's move fast and often. Try to get a moment of animation with a good expression.
Get down to their level. That means getting on your knees or even laying on your stomach. Sitting on a small stool may also help if you are more comfortable that way. What ever it takes, do it. Taking a child's picture from an adult's point of view seldom makes a good photograph.
Don't forget the usual rules. Keep the background uncluttered. Watch your composition. Keep it simple. Zoom in to the subject with only enough background to tell your story.
Have fun. Make some noises. Make faces if you have to. Some kids need some coaxing to get a good expression. Some are just hams for the camera.