These rooms were all designed by Katrin Cargill, famous interior and product designer. Katrin has written several books on Swedish decor and decorating. Notice that the fabrics have a larger scale print on a white background. Also notice her use of red checked fabrics. Here is a lovely room from House Beautiful. Classic red checked fabric on the Swedish bench and notice the red cross stitching on the muslin curtains - great detailing!
Finally, a simple, but classic, ironstone pitcher filled with tulips! Just a few examples to give you ideas on ways to punch it up with Red!