We've moved five times cross country. The easiest by far was the move done by a relo company and paid for by DH's employer. We've also done two where we got a lump sum and moved ourselves. Wrap everything well, splurge for the zip up mattress covers and full couch covers and put things in the uhaul or pod carefully and securely. We used lots of bungie cords. Expect that something will be broken or damaged, inevitably something will. We've had some things damaged, but since most of our furniture is from craigslist it doesn't really matter.
You can get moving boxes off craigslist, we never paid for any. Our best place was produce boxes from the grocery store. Apple boxes smell good and we've never had an issue. The paper that the moving companies use is really nice - I kept all the boxes and paper from the relo company and we used it again on our last move. Don't use newspaper, I still have every towel and blanket we've ever had in 25 years of marriage and I use those as well as put breakables in with clothing. We lived at the beach for 6 years and had a stack of beach towels - they can be wrapped around small pieces of furniture. Buy a couple rolls of packing tape and the thing that it goes on to tape towels or blankets around furniture. Mark EVERY SINGLE box with what is in it and what room it goes in. Makes the unpacking so much easier. Purge everything you don't think you will need or have not used in a while.
Eat down everything in the house and freezer, means some weird meals toward the end. We packed a box of basic kitchen and any condiments left (we LOVE condiments in our house), sheets and towels for each of us, cleaning supplies and clothes for a week in the car. If you drive a truck this is less necessary, but we did a pod on the last move and it was needed. The cleaning supplies at hand is necessary - every single house I've moved into was dirty. Good luck, it's stressful, but I love living in new places!