Drivers licenses have addresses on them in the US? So you need a new one every time you move?
Yes, you do. Drivers licenses are issued by individual states, so if you move from, say, Delaware to Michigan, you have to get a new license in Michigan.
In addition, if you move to a new address in the same state, you have to change you address, so the state can send you notices about renewing the license or verifying that you really do have car insurance. Police agencies also use licenses for addresses when issuing traffic tickets. If you "forgot" to pay that speeding fine, that is the address they will send the nasty notice to.
Since drivers licenses are the primary government-issued ID in the US, they are also used to prove that you really do live in City X, so are entitled to some service only given to residents--a library card, for instance.
In the US, drivers licenses have an expiration date that varies by locality. So you have to get a new one every few years as a matter of course.