I packed mine early around 32 weeks. 1) I was super excited 2) who would of known I would deliver my baby that same night I packed my bags lol. I say it's never too early or too late I would start packing now that way it steady and off your check list :)
I didn't pack mine (I'm a last minute person) and at 36 weeks I went into labor and had to go to Walmart while contracting like crazy to buy all my stuff and ended up having my son the next morning. the earlier the better, you can never be too sure!!