Yes, you should re-register each time you move. You may register at your current address regardless what address is on your driver’s license. BUT, you could be kept from voting if you do not bring a document with your current address to the polls that meets the requirements of the state of your residence. Most states permit another government ID, paycheck, utility bill or bank statement, but some have more stringent requirements. Therefore if your current address does not match your driver’s license, you should do one of two things:
Register at your new address and check the ID and proof of residency requirements here or with your Secretary of State’s office. You may need to get a new driver’s license.
Register at your home/parents’ address and vote by absentee ballot.
HeadCount provides voter registration assistance on a strictly nonpartisan basis to any U.S. citizen age 18 or over without regard to political affiliation, race, religion, or age. HeadCount does not endorse, support or coordinate with any political party or candidates for elected office, or take positions on any ballot initiatives.
Pennsylvania is adding a new hologram feature to its driver licenses that will improve security and make spotting fakes easier.New License Feature To Make Spotting Fakes Easier - YouTube