I should have quoted the post above, but PP is right that sometimes movers will even pack things that the list says that they won't. I don't know where our drawer frull of batteries went, but I know DH and I didn't do anything with them.
The only things they left were the pantry (which dh told them not to bother with, otherwise I think they would have packed my flour, etc.), liquid baking supplies (cooking oil, etc), refrigerator food, and cleaning supplies. They packed bubble bath, lotion, soap, etc. that I didn't think they would.
Consistently, they have not packed cleaning supplies (and obviously the perishable stuff). If you end up with a bunch of cleaning supplies and have an Armed Services YMCA on your base, see if they will take your stuff. Ours took mine without even looking through it - said they use everything (laundry detergent, dish soap, household cleaners).
With the lotions, etc., you might want to go through that and decide what you'll still want to use after it's been packed up for a month. I went through all of ours a couple of weeks before the move and got rid of what I knew I wouldn't want.
Definitely empty your trash - sometimes they take it, sometimes they don't. One time, they packed my toilet brush...which was wet from cleaning the toilet. That was a lovely box to open.
Definitely take your car seat with you, and any other baby necessities and medical info. I got a copy of my lab reports from my first tri bloodwork to take with me to my first appt after we move - I've had some bad experiences with medical records not being transferred or accessible, even between military hospitals/clinics. (I've been to Army, Navy, and Air Force MTFs.)