You might want to go to a Benjamin Moore paint store and ask for their advice. They have a large selection of wonderful reds. With the brick and hardwood floors you might want to look for a yellow based red. A warm red which would have a yellow base as your brick most likely does. If your hardwoods have not been stained than they too are a warm color. A cool red would have a blue base and not blend with your other colors. I hope this helps!