If the vibration can be felt in the shifter, it is likely a front of the driveshaft balance problem or a bad u-joint. If you feel it in the back seat or in the floor at the rear, it could be a rear of the driveshaft balance problem or u-joint. However, a bad rear tire or drum can cause the same vibration in the rear. Before pulling the suspected driveshaft, swap the front wheels for the back and back to front or borrow a known balanced set of wheels to test drive the car. If you haven’t balanced your wheels for a while, it wouldn’t hurt to do so to ensure they are indeed balanced, just for peace of mind.
Before pulling a suspected out-of-balance driveshaft, check to make sure the u-joint is properly positioned in the yoke. Some yokes have small tabs that the u-joint caps must be indexed behind to hold the driveshaft in the center of the yoke. If you removed the u-joint caps for any reason, did one of the needle bearings fall over when you put the cap back on? This little oversight WILL cause a bad vibration.
Good Luck!