PS3, all the way. Not sure why you're knocking it out, it's got a much bigger library than the others, and at this point, you can get the back catalog for really cheap. I had an XBox360 for most of this generation. When it finally red ringed, I reluctantly got a PS3, thinking there wouldn't be too many exclusives to warrant going back... I was wrong. It's just a brilliant system with a huge library. And it sounds like you don't even have a 360, so your possible catalog is going to be massive. And I've had a lot of great times with using it as a blueray player and computer video streamer.
I don't play handhelds much these days. I have a PSP and 3DS, and they get very little love. I just don't find the games quite as engaging with that footprint. I like to see them on a nice big screen and get sucked in. Handhelds just lend themselves too much to distractions, and I'm pretty ADD.