Final answer:
Amazon RDS is the AWS Cloud service that automates database maintenance tasks such as backups, patching, and disaster recovery, enabling database administrators to focus more on data architecture and performance optimization.
Step-by-step explanation:
When a company decides to migrate to the AWS Cloud, aiming to save time on database maintenance, the service that comes to the forefront is Amazon RDS (Relational Database Service). Amazon RDS automates time-consuming administration tasks such as hardware provisioning, database setup, patching, and backups while providing cost-efficient and resizable capacity. It also simplifies disaster recovery (DR) processes, enabling you to focus more on data architecture improvements and performance tuning rather than daily operations.
While the other services mentioned like Amazon S3 is optimized for data storage, Amazon EC2 offers customizable virtual servers, and Amazon Redshift is a data warehouse solution, they do not offer the same level of managed services specifically for relational database management as Amazon RDS does.