Since I started doing holiday dinners, I've always brined my birds. I love the result, but I find that while the turkey comes out nice and moist, it doesn't pick up much flavour from the brine. For Thanksgiving, I had a delicious smelling brine with some star anise, cinnamon, and a few other things. The turkey didn't seem to pick up any of this flavour.
Any tips on solving this problem? Would injecting the meat help?