http://diamondarchery.com/atomickids...c-specs-manual My daughter is 9 and she shoots an Atomic, which goes from 6 to 30 lbs and 12-24 inches I think and you don't need a press to adjust. It is also only 2 lbs. For a small kid, the actual weight of a compound bow can be more problem than the draw weight. Most "youth" bows are 3.5-4 lbs without accessories and a kid simply can't hold them up for more than a few shots. I think PSE makes a small kids compound as well as others, but make sure it is really for a kid and not a teen. A good local pro shop can save you a lot of headache and is the best place to get advice if you don't really know what you are doing.
Many bow models will say they adjust from 5-70 lbs and people buy them thinking they will last forever, but how many people actually shoot the same bow for 20 yrs? If a bow can fit that big of a range of lengths and weights, chances are it doesn't fit any of them well. It will be too big now, and under performing later. Buy a quality kids bow for now and you can resale later and get good money to put into the next one.
I got her first recurve bow for like $30 at Dicks when she was 3, but she grew frustrated with that quick as the arrows would fly all over with no consistency.
She started at 5 with this bow and just turned 9. She didn't even use the sights for the first 2 yrs, but was happier just pointing and shooting, so that's what I let her do.