The i3 has far faster single threaded cpu performance and equal or somewhat better multithreaded cpu performance in most tasks. I would pick it for general use or for gaming with a dedicated gpu.
The only reason I would pick the A10 is to game on the igpu. It will be better than the i3, although intel has improved their igpus a lot lately. The problem with gaming on any igpu is that it is not really adequate in modern, demanding games except at lower resolutions and image quality settings. And if you decide later to add a dgpu, you are negating the best part of the A10, the igpu.
Coming from a netbook though, I am sure you would be satisfied with either cpu.