You're not going to be taking your gear anywhere with you until you're done with BMT and Tech School. It looks like you'll be BMT/Tech school for about 6 months before you get to your permanent duty station. Once you get to your permanent duty station you'll probably be in on-base dorms sharing a bathroom with the person next door. I doubt the people in your dorm will want you playing a huge amp but I knew guys who had some of their gear (guitar/bass, small amp, headphones).
Fender Jazz Bass #981, "I Started on Guitar" #2