1. Make plans as early as possible. Planning early will give you the opportunity to be able to make unpressured choices - haste is waste, as the old saying goes, and it also applies to moving. Rushed and hurried decisions are usually disastrous, and the outcome is based more on luck than anything else. Planning early will also help you gather information and inputs (from other people) better, and give you more time to prepare.
2. Pack with care. The things you have in the boxes and packages you will be transporting contain your things, so it would be better if you pack them properly. For one, try packing room by room, so there is less confusion when unpacking. Also label each box and inventory your things. Also remember to pack fragile and breakable items with things like bubble wrap and packing peanuts, and label the boxes conspicuously.
3. Pick the right removal company. Good movers will help you get your move on the go smoother, as their experience and professionalism come into play. Make sure you pick the right one though - research over the internet for good prospects.