The AWS Snow Family is ideal for moving large batches of data at once. The AWS Snowball has a typical 5-7 days turnaround time. As a rule of thumb, S3 Transfer Acceleration over a fully-utilized 1 Gbps line can transfer up to 75 TBs in the same time period.
As a best practice, perform initial large data transfers with series of AWS Snowball devices and then transfer incremental ongoing changes with S3 Transfer Acceleration.