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Pack the large items first. Fill the nooks and crannies with smaller items. Have the important things on you.
You'll be able to tell early in your packing if you need a different sized bag, or if you need to remove some clothes from what you planned on bringing. Rolled clothes and shoes should go on the bottom. Place the folded items on top of the rolled items. Alternate hem-lines to avoid uneven packing. Socks, jewelry, and accessories are perfect items to fill spots between clothes. Stuff the cups of your bra with rolled up socks to help them keep shape. Belts can easily line the perimeter of your bag. Stuff your shoes with small items to save space. Stick your underwear and socks in the sneakers, then put the shoes in a plastic bag, so that the rest of the luggage doesn't get dirty. Stick your pillow in a compression bag. Squeeze the air out of the compression bag, then pack that between the two ridges in the middle. Pack your solid toiletries in the front pouch, then stuff your quart-size bag of liquids into the little remaining space in your bag. It is good if you have a little extra space, it is good for souvenirs, and if you are bringing a pet, you can put their food in. Just in case anything happens to your suitcase, keep all your expensive and important things in your purse.