Amazon Web Services (AWS) offers several solutions for running containers, including Elastic Container Service (ECS) with Fargate, ECS backed by EC2 instances, and Elastic Kubernetes Service (EKS), each with distinct advantages and trade-offs. ECS with Fargate is suitable for those who want simplicity and automatic management of containers without handling the underlying infrastructure, while ECS backed by EC2 offers more control over the compute environment, making it ideal for organizations with advanced requirements. EKS provides a comprehensive Kubernetes experience, beneficial for organizations focused on cloud-native technologies and multi-cloud or hybrid environments, though it requires greater expertise and management. Pulumi supports these container solutions by providing infrastructure as code, simplifying deployment, and integrating with AWS services like IAM, ELB, and CloudWatch. Additionally, Amazon Elastic Container Registry (ECR) allows for efficient and secure storage of Docker container images within AWS accounts.