Let's try to set a few things straight.
A restricted posting is one where the member is not allowed to move their Dependents, Household Goods and Effects (DHG&E) until certain conditions are met. On some postings, the conditions are never met and so the CF never moves the DHG&E. This is different from a "Prohibited" posting where the movement of DHG&E will never be approved. It is up to the Management Authority (i.e. the folks that are paying for all this) to decide whether a postings during training phases are "restricted" or "prohibited." Read the posting instruction (i.e. the posting message) to see what yours is. If it's restricted, chances are it can be lifted once the member gets to Kingston.
At this point in the member's career, if a move of DHG&E is approved, it will likely be administered by the Orderly Room. Contrary to what an earlier poster said, this does not mean a huge difference in benefits. There is only one benefit where there is a difference between what a member gets from IRP and what he/she gets from the OR (and for that matter the benefit from the OR is usually greater). Don't sweat this. If the move is approved, you'll get moved and the Crown pays for it. In this regard, I would recommend you wait until your husband is in Kingston and in a position to discuss options with his chain of command. This will just make life easier. Stepping outside the established process does NOT negate entitlements, but it doesn't make you any friends either. If you do decide to move on your own, keep all your receipts as you MAY be able to claim them later, if the restriction is lifted. If the restriction is never lifted and it does come time for the next posting where you are entitled to move DHG&E, things will get complicated if you are trying to move everything from Kingston instead of where the CF thought you were. Again, this scenario does not mean you're entitled to nothing, but it will be complicated and you may be somewhat out of pocket as a result (normally the goal of moving in the CF is that the member is not out of pocket for anything). The best advice is for your husband to seek information from the right people (i.e. his chain of command and the appropriate supervisor in the OR, not from his buddy in the mess or anyone on this forum).
Just so folks are aware, the average cost of a CF move is $15,000 and we move around 15,000 members (and their families) every year. This means we spend about $225M annually on moves (not hundreds of billions). It's a lot of money, but it's actually only about 1% of the total Defence budget.
The people involved in the process are not a bunch of ogres and they do not lie awake at night thinking of ways to screw people over. Reasonable requests can and will be considered, but if you wish to deviate from the norm, ask BEFORE you do it, wait for the answer and then take heed of the answer before proceeding.
Nobody can tell you that you are not allowed to move. You can do whatever you like, but be prepared for the fact that the CF may not pay for some of your choices.
Finally, I have to say that I'm somewhat disappointed by the approach some folks have taken to posting on this thread (and others for that matter). Somebody asked a question. There was no need for anyone to jump down her throat. If you don't want to answer the question, then just move on. Threatening someone that if she rocks the boat too much (which she wasn't) that her husband could be released as an administrative burden is over the top and only causes unwarranted stress in a new member of our CF family. We're supposed to help each other, not bite the hand that reaches out for assistance. It takes a hell of a lot to release someone as an administrative burden and asking questions (even a lot of them) doesn't take you even close to that point. Members have a right to know and leaders have a duty to inform (it's one of those pesky principles of leadership that we teach).