What to beware of

I just purchased a pre-owned 2001 Buick Regal LS. It seems to run like a dream. With a couple of exceptions. Every blue moon, it has a slight issue starting. It always turns over but there is about a second hesitation. It isn't a big deal now, but I wonder if it is the begining of a future problem. Also there is a strange noise that comes when I step on the breaks at times, and that I can feel in the steering wheel. Not a grind or squeel. More like a few bumps, and thumps. I thought it was the inner tie rods, but the dealer checked those and the suspension and said everything was fine. Are there "basic" problems that buick regals encounter that I might as well have looked at now?