Fingerpainting is a terrific, tactile activity for little hands. However, if getting sticky is a little too overwhelming for your child, he might instead prefer this clean and relaxed approach.
Lay down a sheet of poster paper or cardboard and over that, place a sheet of plastic wrap—taping down the edges. Have your child add several blobs of paint (homemade or purchased) using spoons or brushes. Then, tape another sheet of plastic wrap over of the paint and encourage your little one to mush the colours together.
He'll be able to feel the paint moving beneath the plastic. Let him flex his problem-solving skills as he decides which colours to blend and mix. If he enjoys the process, he will be more likely to touch the paint with his fingers the next time.
Note: You can carefully remove the top layer of plastic wrap, lay a sheet of white paper on top of the wet paint and press lightly to make a print.