To apply data modeling and normalization to your data, you can begin by identifying the purpose and scope of your data, as well as the sources and users. Then, define the entities, attributes, relationships, and constraints of your data with a conceptual model like an entity-relationship diagram (ERD). Afterward, translate the conceptual model into a logical model such as a relational schema that specifies tables, columns, keys, and foreign keys. Additionally, you should apply normalization rules and principles like 1NF, 2NF, and 3NF to eliminate redundancy, inconsistency, and dependency. Finally, implement the normalized logical data model into a physical data model like a DBMS that creates actual data structures and storage mechanisms. Throughout this process, be sure to test and validate your data model and normalization. Make adjustments as needed based on feedback and evaluation of your data.