Well the bucket will work as a dip but I don't believe it will cure your problem. Your problem is that you'll have ich resident in your tank, probably including cysts in your substrate and rock. The ich present on the fish will be killed, but you put the fish back in the tank and bang , it has ich again in a couple of days. If you don't do something, I would worry that pretty soon every fish in your tank will have it. Do you want to dip every one of your fish every day
I don't know of an effective ich cure that will get rid of the ich in a tank without killing the inverts. Hows your reef - can you put the rock and inverts in yet? If so, that's what I'd do, then I'd effectively use the current tank as a QT tank, and lay waste with an ich cure. Keep the fish there for a month. This wil be enough time to get rid of any lurking ich on the live rock in the reef tank by starving it to death. If your fish are ich free then , and have been for a few weeks, move them to the reef.
If you have a reef and no QT you are asking for trouble, because once something like ich is in there, you can't do a thing.
Sorry to be so depressing. I've made a similar mistake on a tank, and I won't again (goodbye 200$ of fish!)