I have a very slight astigmatism in my left eye and while there was definately an adjustment time, it wasn't too bad really after we got the prescription sorted out.
I highly recommend a Toric lens (contact astigmatism correction) over glasses. The glasses did make me dizzy, while a contact lens only made feel slightly disorientated at first.
Your optician may recommend constant use to get your eyes adjusted to the difference between wearing them and not. I would also ask for only a 20/20 prescription as I had found the 20/15 correction I was given at first made reading difficult.