My 2002 impala's service traction control light and abs light come on while driving....both with traction control on and off,,,what should i be looking to fix

Traction control only works when one wheel is spinning faster than the other it trys to even them out so it wont spin...sometimes if one of the wheels come off the ground in an uneven area or if you take a turn too fast and one wheel turns when the other one dont it is designed to operate.
I would remove all wheels and check the braking system...Is it 4 wheel disc or rear drum ?
If it has rear drums you could have a wheel cylinder leak that will sometimes lock the wheel because of fluid contamination....This would cause both lights to come on...If you find no problems
sometimes the abs sensor builds up fragments on the magnet and makes the light come on...
or if the abs sensor is not close enough to the exciter ring it will make the light come on because it will be out of adjustment.....all you do is press the sensor inward until it barely touches the ring and it will adjust itself....You can sometimes clean the magnet if it is contaminated and make the light go off ( only after you reach 6 to 15 mph. it will go off ).If it dont go off you have to buy a sensor.
Also make sure all tires have same amount and plenty of air to keep vehicle in balance/level.

It may be something easy as a wheel bearing sensor; sometimes these sensors are replaceble if not u may have to replace the wheel bearing.