Maintaining your own health history is very important. Insurance programs change, moves happen, doctors retire, medical needs arise when you are out of town. While you can always have your records transferred, it’s smart to have your own back up set of records for those times when information is needed in a hurry–or when you just didn’t take the time to request records from your previous doctor in a timely fashion.
There are a variety of internet based systems where you can plug in your data and access it as needed. Those require some trust on your part that the information will be held securely, and that you will have the proper device and/or printer to access it when you need it. I like plain old paper. Maybe you’ve got a fancier electronic version to my file cabinet at home. Whatever works for you. The important part is what’s in those files.