Going from big to small is much easier than small to big Sallyanne. There may be aliasing issues still. A trick I like using is to blur by radius that's the inverse of the size you want to be. In other words, if you want to shrink an image to 1/3 the original size, you blur with radius of 3 (small blur but it will work) and then downsize. Afterwards, you apply sharpening to taste. This process helps reduce aliasing issues. Even the rule of thumb I came up with has some room for tweaking so play with the amount; don't over blur.
