Your moving company may supply you with free boxes if you pick them up. They may bring you wardrobe boxes when they come on moving day so you can load your hanging clothes in them. (space at the bottom for shoes, pillows, spreads).
First, buy your supplies: Packing tape on a wheel thing, 3" white labels, permanent black marker, small bubble wrap, stack of old newspapers. (check out Sam's Club or Costco or Walmart)
Make a list of the rooms in your new house, starting with downstairs, and number them in some sort of orderly fashion. Example:
1. Living Room
2. Dining room
4. Utility room
For upstairs, add an "up arrow" sign on the label.
They don't know "Annie's room" so use things like:
10. Bigger bedroom
11. Smaller bedroom
12 Blue bath
13. Tan bath
Can you do labels by your computer/printer? Make a sheet of each room with that same label. If not, hand write them.
Keep boxes in the garage or out of the way. To get started, just put together several boxes. Haul them to a room. Have a bag to carry all the other supplies. Focus on one room at a time. Fill the boxes, label them. Write below the label the main things in the box (bedding, clothes). Seal um up. Either shove them against the wall or ask your husband to carry them to an unused room or garage. Doesn't matter if they get mixed up.
Oh yes, when doing the kitchen, bubble wrap those fragile items, tape around them if really fragile and throw in crunched up newspapers. Don't pack boxed items, seasonings, cans, etc that are out of date. You'll be surprised how fast some items have already gone out of date.
Don't pack anything you don't want to really keep and find space for. Toss out, give to Good Will, give away whatever you can.
Don't pack the things you need to use the days before the move like toiletries, change of clothes, plastic and paperware to eat on).
Set aside those boxes of things that are too hard to pack with the lid down (big pictures) or too sentimental to risk it getting stolen or broken (personal, framed pictures, CD/DVD collection, ceramic knick knacks, lamps with shades. Move these yourself. Before the move if you can.
Most importantly, ask your mover if they can assure you that they will focus on moving your boxes to the rooms they are marked for. Tell them that you aren't interested in paying them for time to move them to the right rooms. Supervise them and if you see them about to put down a box in the garage that belongs up in the Master, bring that to their attention. They will learn after only a few times that your eyes are on them. Tip them nicely if they are careful and do a good job that way. Just take one day at a time and get everyone involved that you can.