Instructions
Determine the needs of the child. Is this a fleeting interest, likely to evaporate in a few months? Or has the child shown a marked interest in astronomy, begging for answers to space related questions? If the interest is fleeting, almost any telescope will suffice.
Know what's available. There are many different telescopes available, with all variations of size, color and magnification. There are several online resources that can help you decide which is right for your child, including Space.com and OpticsPlanet.net.
Decide if you want a refractor telescope or a reflector. Refractors are lower in cost but will be more difficult to focus without distortion. Reflectors are more expensive but have better optics.
Shop around. Telescopes can be purchased at your local department store, but you can find better deals online. Look at Telescopes.com and OrionTelescopes.com for some good deals.
Buy the telescope. Remember that the larger the aperture, or opening at the skyward end, the better image quality you will have.