Here are our suggestions based on your own criteria. For a refractor, we suggest the 909EQ2 for the excellent views of the planets it gives to the serious beginners. For reflector, the 1141EQ1 Catadioptric-Newtonian has always been our most popular beginner reflecting telescope, for its portability and ability to reveal a wide range of astronomical objects.
Most children have less expectation than adults.
The 707AZ2 is inexpensive, yet offers gorgeous views of the night sky and the Milky Way star fields. The 709EQ1 or the 767AZ1 will be perfect for pre-teens. If you live in the urban area where the light pollution problem is severe, a quality medium refractor for the planet study may be a practical goal for your condition. These instruments give the best performance of all commercially made refractors in their class. The impressive light gathering power of these scopes is ideal for capturing a vast array of galaxies and nebulas.