If your bike is fairly new then it could be one of a number of standards (press-fit, threaded, bb30, ...) so its probably easiest to leave to the bike shop mechanic unless you are confident and have bought the correct tools.
Coming from a mountain biking background, where they tend to suffer due to being a moving part at the bottom of the bike, if its worn you'll notice that the cranks don't rotate as smoothly as before. The best check is to hold the pedal ends of both cranks and push/pull towards the frame - if its good then there should be no movement, but if the bearings are worn then you'll see a little bit of play.