No, you don't need to file for Delaware. As you state in your question, you moved in January. You will file a MD resident return for 2018, and a DE resident return for 2019. (If you work outside of DE, you will file a Nonresident return for that state as well).
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"