Sounds like your most concern is the speed!! Mind telling me what and how you use your current iPad and what do u expect the new iPad of?

What game are u currently playing? And let me share that iPad mini 4 is a bit smaller screen compare to your iPad 3gen. The experience is there and much faster on what you ask for(gaming and loading pages).

already announced, i believe that iPad mini 4 can do all the things u mention. The most is the size suit for u for reading with one hand, put into carrying bag and for your kid no need to spend extra weight.