If you host/run the Airbyte, CH instances in the same GCP region as your GBQ tables, then you wouldn't pay for egress if you move to GCS or otherwise. Refer
https://cloud.google.com/bigquery/pricing#data_extraction_pricing, but if you move between regions within a continent then there is a cost associated with it. I am assuming that you would be charged only for the queries which are being fired from Airbyte for fetching your entire data, based on the pricing model you have chosen for GBQ (say flat-rate or on-demand)