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I'd say it's not too early, just in case you get going a little early. Never hurts to be prepared. Just don't pack anything you'll need in the meantime (but keep those in easy-to-get-to places), but packing stuff like books and pads, etc, isn't a bad idea. Here's a list - I found it somewhat ridiculously long, but there are some good tips: https://www.parenting.com/gear-article/Child/Gear/What-to-Pack
also make a list of those last minute things that you use everyday and maybe put where they are located so that your significant other or whoever will be there when yulgo into labor can help with last minute stuff because that is the last thing you will be thinking about
I began packing some things and I am 32 weeks. I went to the store last week and got a small cosmetics case and filled it with travel size shampoo. conditioner, soap, deodorant, toothbrush, toothpaste, etc. That way I don't have to worry about packing things that I know I will need between now and then at the last minute.
this is what im packing ,cell phone,ipod (with relaxing music),old comfy pjs (that i dont care to ruin),pads,comfy panties,slippers,snacks (like penuts or chips),pillows (just in case they dont provide) ,hair brush,hair bows,a cute outfit for you(for pictures) and for the baby ,a outfit to bring him/her home in,a super cute outfit for pictures,binkys,blankets,hats,socks,dipers,bottles(just in case they dont provide them) good luck