OK I know what everyone is talking about, now the fix. You 1st have to adjust the bike, lube the two cables, one is the pull or on and the other is the return or off. adjust them so "the on" at rest is at idle, 1/4" of play, then it starts to pull (or move the bike), the return, you want to get has tight has you can, so it will return has fast has it can. before adjusting the cables it is best to lube the grip, remove it a put a thin layer of lube and then replace it, turn it and it should be very smooth, now lube your cables and adjust. Now the part of how to use the grip and brake: Put your hand in the air like you are on the bike holding the grip, reach out with all four fingers, when you do this the base of your hand and thumb, turn down. Try this (in the air) with your fingers higher then your wrist and you will see what I am talking about. So now on your bike, see where your fingers are (reaching for brake) and where your wrist is, if your wrist is lower then your fingers, when you brake (holding the grip at the same time) you will make the bike accelerate. The fix is to lower your handlebars or lower your brake lever. If you can not do that, try this: When you brake, reach with all four fingers, at the same time take your thumb and base of your hand off the grip, let your fingers grip the brake lever (like you would the grip) and then pull back, your thumb and base of your hand will then grip the handlebar grip. This will give your bike cable (return) time to work and at the same time not reduce your braking
time. It will also help with certain rough road conditions, like Woodswoman is talking about. You will have to practice this so it becomes law of how you ride, most people never learn this and just pull in the clutch not even thinking this is happening. The DCT is a fine thing to have and some people would say it is EZ'er to ride, but if you think about it a bike with a clutch maybe ex'er if you have been not working the grip and brake lever together and using the clutch to cover that up. Whatever happened to down shifting?
Back to the OP, "When one pulls up to a stop the rider will have his right hand on both the brake and throttle at the same time. If he is not carefull when he stops and releases the brake his hand might slip a little and guess what - z o o m he is off and running over everything in front of him" For this the fix is: hold the brake lever with your fingers, put your foot on the brake, lift your thumb and base of hand off the grip, then let go of the brake lever, grab the grip, feel the bike coming off idle, let your foot off the brake and go. Practice this by, coming to a stop, use your right foot to hold the bike stopped, left foot to hold the bike up, left hand to hold the handlebars,and now use your right hand to point where you will be going (remove your right hand from the grip/brake lever)...try it. Have fun with it and what you (OP) where talking about will never happen again. Note here, that I have been teaching people how to ride for over 30 years, I myself practice all the time, it is hard to explain how to ride on a forum, little things that you never thought about can get you into trouble without seeing you riding in person I can only try and help. Please PM me for more details/help, I am always happy to see a rider, ride better and safer.