Live music is the best way to really listen to piano music imo...which is what I will do tonight
.. follow the score as you go. You don't have to scrutinize it, and try to catch everything, but just follow along. After one or two times of doing this, I often have a much better understanding of the music, and can often listen to more obscure or less memorable pieces with more pleasure.
Lucky.. Here where I live, classical music doesn't seem to get much attention. Whose concert are you going to?
Listening with a score helps me concentrate. But here's something else I've loved. If you have time to listen through any or all of these lectures, I find them addictive, and also very helpful in getting me to listen actively. This is a series called "Inside Chamber Music" taught be Bruce Adolphe. There's information on the composer and his context, and also a lot of detailed analysis of the individual pieces to help you see what's happening. For example, he'll take a Mozart string quintet and delete all the surprising and asymmetrical bits to show what it would be like had it been written by a lesser composer, and then add them back one by one so you can see how Mozart undermines the symmetry that many people think is the hallmark of classicism. Or he'll show how Ravel differs from Faure by taking a theme from Ravel and recasting it in Faure's style. And he's often quite funny. In any case, listening to all these lectures has helped me listen to music in a more active, focused way, which sounds like what you want to do. Try one or two and see if you like them.