The most important thing to take care of before you change your email account or create a new one (or cancel it) is making sure you export and store a list of your contacts first. After all, you will probably need them later at some point. Even if you don’t plan to change email accounts (or shut it down), it’s always a good idea to have a backup of your email contacts on your computer or to have a printed copy at hand in case of emergencies.
If you are a Gmail user, the process of exporting email addresses is fairly easy. You can store these email addresses in the CSV format on your computer and open or edit them with applications like MS Excel. There are 2 easy ways to export email addresses from Gmail.