You can create your own private cloud with AWS cloud. VPC is a logically isolated section of AWS Cloud. Following are key features of VPC:

• full control over your network configurations
• several layers of security
• many key AWS services such as EC2, S3, RDS, and ElastiCache deploy into VPC
• VPC lives within a region thus it spans multiple availability zones
• setup subnets to divide VPC
• use route tables to control traffic
• Internet Gateway (IGW) to access Internet from VPC
• NAT gateway allows private subnet resources to access Internet
• Network Access Control Lists (NACL) control access to subnets

To create you VPC, login into you console.

• Create VPC
• Choose IP
• Create subnet (256 IPs)
• Add IGW

You can connect to your VPC through VPN, CLI, or Amazon DirectConnect.