Did this with a 40 gal breeder recently, I ended up running the filter on the established tank for a month in advance but I'm pretty sure just moving the media would have done the same thing.
Moving the substrate will also be very beneficial. I don't believe that moving the water will serve any true purpose but if it makes you feel better about the move I'd say do it, I wouldn't fill it with more than 50% old water though.
Also, I would add only a few fish at a time, one or two really and give it a week between adding them to make sure all of your parameters stay in a good range.
On a side note, I ran my breeder for 2 days with no fish just to make sure I didnt spike anywhere.
If you test it out and all is well I'd say you should be safe. Just my $.02