You know the old saying "if a quote sounds too good, it usually is". That statement can really hold true if you're not careful. Review your estimate carefully and thoroughly for any mistakes. If you find no mistakes and the company is standing behind their quote, don't be afraid to take it. Sometimes you get lucky and a moving company is trying to get more business. They want you to be their client.
It is a very good practice to never send a moving company your personal or financial information before you fully understand all the terms of your contract. Free quote are a common practice among moving companies, you should get at least a few. When your free quote come in generally the highest and the lowest are not the best, but everyone's situation is different, so you should look at all the quote to find the best for you.
What is the best deal for you? Well that is different for everyone. While price is important in choosing a moving company, it should not be the only thing that is reviewed. Often times the cheapest quote do not include services that you may need in your move, so it is imperative that you're fully understand what is included and what will cost you extra, in all the quote you get.
If you do not fully understand what your quote says about services and situations you could be in for some ugly surprises. Your quote should have a statement about what happens if your items are lost, stolen or damaged during the move. It should be very clear as to what you are responsible fro as far a packing and having furniture ready for the move, and what the moving company is responsible for as far as packing, unpacking and putting furniture in your desired locations.
One of the best services a moving company can offer is the unpacking and putting away of packed and boxed items. These are not usually included in most low end quotes, and would cost you extra, if you could get the service at all. Do not underestimate the personal benefit of having furniture and or boxed and packed items put were you want them to be. Moving is stressful enough, make your life a little easier.
Don't get me wrong, I am not saying that a cheap quote is from a disreputable or untrustworthy company. As a matter of fact many time very good moving companies run special sales or discounts, for a variety of reasons. We just want you to fully research your move before it happens so you are a prepared as you can be. The best resource you will have at your disposal is the internet.
The last thing you need to be clear on is the payment arrangements in your contract. Have a clear schedule of payments including deposits, and final payment. You should also be clear on the types of payments your moving company accepts.