Depends on how you're doing it-you said the new place is close and there's not a big rush to get your stuff rom your mom's? Here's what I would do: First thing to go is the barest of bare essentials. Pack as if oyu were going on a 1 week vacation to this house. What would you bring? Some changes of clothes, a couple towels, toiletries, some food and the smallest amount of pans and dishes you could stand. Then furniture. Beds, kitchen table/chairs, washer/dryer, dressers, end tables, shelves. Ok. See it's starting to look like a home? Now, what do you miss? The rest of your wardrobes? Kitchen stuff? That's what's next. The things you can do without for a little while but really help the day to day living go more smoothly. Then the rest of your stuff.
My best advice is to PURGE while you're going through everything anyway to pack it. Have a bag and a box available at all times clearly marked as donations.
If it's the opposite, and you're moving things first then people, just reverse everything. Start with the stuff you won't miss. Get as much furniture as possible set up ahead of time. Decide where things will go in the kitchen.
One thing that helped me a lot was having room tape. I got it from u-haul, basically it's just brightly colored tape and each color has a room name written on it. You could also just use various colors of duct tape or something, pick one color for each room and put a big strip of it on each box in the right color. It's a lot easier, when you have a truckful of boxes, to glance at the tape color instead of trying to read each box(which you should still mark very detailed-ly) and figure out where it goes.
I've moved so many dang times in my life. Hope I helped a bit.