I have been using LR4b for about three weeks. Initially it had some issues. Within two days, the 64-bit version started crashing about every minute. I switched to the 32-bit version and it was fine. Then after a few hours, it too had issues. I went back to the 64-bit version and it has been rock-solid since. No further stability issues.
I don't know if it makes any difference, but I do not have LR3.
I have no idea what the early-use problems were, but the software seems to have sorted itself out. It's a good package. Give it whirl.