A bladder tank requires less attention to operate. If you use a bladder tank, it should have a real volume at least 3 times the GPM capacity of the pump if the pump is less than 1 horsepower, or about 5 times the GPM capacity of the pump if the pump is 1 horsepower or greater.
A non-bladder tank of the same size will work if you pay attention to maintaining the air in the tank, or have an automatic system to maintain the air. If you aren't comfortable with that idea, get a bladder tank.
If the pump capacity exceeds the maximum flow demand of the household so you don't need storage to supply peak demands, then there are some who recommend using a smaller tank with a Cycle Stop Valve. That will not be a satisfactory solution if the pump won't deliver the maximum demand at the desired pressure. Also, the CSV system with a small tank will require more kilowatt-hours per 1000 gallons of water, with the amount depending on your demand cycle and pump characteristics.
A non-bladder tank exposes the water to oxygen, but there is not enough oxygen available to have a significant effect unless the tank system is designed to strip the dissolved gas out of the water and vent it. There are systems that will do that, but they consist of more than a tank.