If cost is a major factor, I suggest to either A) look at open source tools that you can run on compute you already pay for or B) use AWS services within the free tier.
For option A), check out singer taps and targets. For option B) check out the AWS DBMS (Database Migration Service). It's make for replicating data and your use case is described here https://docs.aws.amazon.com/dms/latest/userguide/CHAP_Target.S3.html
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