Can you explain the process of how members were transferred from one commission to another under this amendment act?
The process of how members were transferred from one commission to another under this amendment act can be summarized as follows:

1. Members of the Public Service Commission for the Dominion of India holding office immediately before the commencement of the Constitution (First Amendment) Act, 1951, would become members of the Public Service Commission for the Union on such commencement. They would continue to hold office until the expiration of their term as determined under the rules that were applicable to them immediately before this commencement.
2. Members of a Public Service Commission of a Province or of a Public Service Commission serving the needs of a group of Provinces holding office immediately before the commencement of this Constitution would become members of the Public Service Commission for the corresponding State or the members of the Joint State Public Service Commission serving the needs of the corresponding States, as the case may be. These members would also continue to hold office until the expiration of their term, determined under the rules that were applicable to them immediately before this commencement.

This transfer process was governed by Article 316(1) and (2) of the Indian Constitution, with certain exceptions or modifications as stated in the context provided.