I would recommend taking a look at Ola Hallengren's open source maintenance solution. This can create the backup jobs for you. Keeo in mind that a full backup that is taken without copy_only will clear the bitmap used for pages on the differential backup. This means, the page will be marked clean and the next differential backup will not include the previous changed pages from the time of this backup to the previous full backup.
https://ola.hallengren.com/ I would also recommend taking a look at this book. It's under $10 US.