If you're still in the midst of basic training (i.e. BMQ), then you won't receive a posting message for whichever unit the career manager wants to send you to. You're still not a trained soldier yet, so you will be sent to Battle School (judging by your profile) first. It may be different for the Inf, but I know in my experience, the career manager generally cuts the posting message for QL3 students' first posting sometime in the final 6 weeks, give or take, of training once the course NCO/Officer has a good grasp on who will actually pass and is suitable for further employment at the unit.
So, in short, if you haven't started your BIQ yet, there's no way anyone is going to give you the info you're asking for. If you're on BIQ right now, you could always ask your course staff if they can find out which Bn your career manager has decided you will belong to.
I understand you want to get a head-start on the move and all, but there is always the chance your posting can be changed at the very last minute. Personally, once my staff told me "you're going to X Bn at CFB X", I would be getting my Mrs. to do some research for houses/jobs in the new location, while making no commitments. If you cannot find out where you are going in time for your Mrs. to get new employment, new trade certification license (if out of province), etc., you could always ask to be posted IR (imposed restriction) until the two of you can get things sorted out, and she can join you at a later date. This avoids her being out of work or taking joe jobs if she has a professional career when you are posted to your new location.
Your course staff should be able to set up an info session with the Orderly Room at some point during your course to explain everything having to do with getting posted so you and your course-mates have the appropriate knowledge WRT entitlements on posting to first location.