I would have them install your present hitch to get the trailer home. I would order the Equal-i-zer hitch from wherever you want and then install it yourself at home. You will do a better job than some tech who has probably never towed anything in his life.
I would probably get the hitch with 1000lb bars. The 1200 would most likely be too much and possibly would stress the A frame of the trailer.
The
1000lb version of the Equal-i-zer would give you the weight distribution and sway control you need but still be flexible enough to give you a good ride and not put too much stress on the trailer.
Edit: I agree with the above poster. The
Blue Ox Sway Pro hitch would also be a good candidate for your application.
Barney