Hello dragonhunter3294,
Unfortunately, bungie is unable to transfer data across accounts. If you wish to keep your characters and their progress when upgrading, you'll have to move to a PS4. Of course, you'll have to use the same PSN ID if you choose this path.
[url=https://www.bungie.net/en/Help/Article/12219][b]https://www.bungie.net/en/Help/Article/12219[/b][/url]