So long as your paint has fully cured, you shouldn't have any problems in waxing it.
The wax won't damage the paint at all, and if it has been clear coated, you shouldn't have much swirling. It is preferable to do it by hand as opposed to a machine buff, as this tends to leave more regular marks which are easily seen. As mentioned previously, buff, buff, buff. Use a canauba as this is a much softer wax and easy to polish out. Also it doesn't leave that white residue around badges and trims like some of the other waxes.