Used to use Allport at my old work for shipping containers from Taiwan they were always pretty good to deal with, not sure how much you would be looking at for part container but best bet is give them a call and they'll prob be able to give you an idea as to the costs inc taxes/duty. Tell them you haven't done it before so that they explain everything you'll need to pay as this will vary on what it is you are bringing in to the country. You might need to speak to customs to get the right hs codes etc for the forms/clearance.
Cost will also depend where you are and if you want it just delivering to the port or to the door.