EF-S 15-85mm vs EF 24-105mm for T3i

I am getting rid of my EF-S 18-200mm lens and replacing it with a EF-S 10-22mm and as of now either the EF-S 15-85mm or the EF 24-105mm. Could anyone comment about these 2 lens?? Or if you have another option, please let me know. I think IQ is most important, then glass speed, IS and then Size. I do a lot of traveling but I also have children and attend sporting events. My budget is $900 so both lens are clearly within that range.