Plasma and LCD flat screen TV's are everywhere, and moving them is not as simple as moving a traditional tube TV.
First, Plasmas and LCD's must remain vertical. Laying down these type of sets WILL damage the image quality and possibly even destroy the screen. Second DO NOT let anything rub against the screen durring transit. These screens are very sensitive and will scratch and rub easily. Whatever you do, do not let the mover just throw a blanket over the set and move it that way. You WILL end up with a damaged set.
Last...if you can manage to do so, keep the original box the TV comes in. Manufacturers recommend that putting the TV back into the original container IS the safest way to move the set. If the box is not available, speak to your mover about options. There are some aftermarket boxes specifically designed to make transportation safe. An alternative is to find a crating company to bulid a wooden crate for transport. Aftermarket boxes and crates are expensive options. With prices for these type of TV's coming down all the time, you will need to weigh cost of replacement vs. cost of the box or crate. Consider the age of the set when making this decision. Expect to pay between $125 and $300 for a box or a crate. With a crate, there typically also be an un-crating charge. Un-crating the set yourself may limit the liability of the mover/crater for damage.
On a local move you might want to consider moving the TV yourself inside your own vehicle.