Unless you've got some reserve time in as an officer or something, I believe you mean IAP, not BOTP (two separate courses)
Anyway, doesn't really make a difference.
Your recruiter was probably talking about CMTT (can't recall what it stands for at the moment - they move your boxes of stuff from base to base). I don't believe you're entitled to it to get to RMC from home.
You could try dragging it to St. Jean, but there isn't generally much storage space in the Mega. I would recommend, if possible, leaving whatever you don't need for the summer at home and if your parents come up for reunion weekend(the end of FYOP) get them to bring it then. I can pretty much guarantee you won't be using a bike, computer, etc before the end of FYOP.