Trusting the moving company that you are dealing with is okay but if things go wrong, it pays to have an extra coverage. The peace of mind that you will get out of paying for extra coverage is very much worth it as it will also secure your items.
A lot of people do not consider getting extra coverage as they think the moving company will be accountable for everything. This is a common misconception which in turns becomes a point of mis-communication between the client and the moving company, most especially if something goes wrong.
Remember that for interstate moves, the compensation is just 60 cents per pound. If you do the math, your $1000 dollar television which weighs at say, 90 pounds will have a worth of just $57 should a breakage take place. Considering how light and flat appliances these days, moving companies are rejoicing at how little thing fragile things weigh as it works very well to their advantage if a breakage occurs.