What's the hurry? There are more important priorities immediately after touchdown than raising the flaps.

The ground spoilers kill the lift on touchdown so raising the flaps shouldn't make much difference with regard to the amount of weight on the wheels during braking. Some airplanes, i.e. J31/J32, use the flaps for lift-dump instead of ground spoilers. The flaps are extended well past the normal landing setting to kill the lift and increase drag.

Not sure why it was said that the flaps and gear handles are located close together on airliners. They are not. The flap handle is usually down on the right side of the center console while the gear handle is up on the instrument panel.