प्रारंभ करना  =  begin
Nter into a detailed discussion of economy.

शुरु करना  =  begin
Let's not enter into details at this stage.

शामिल होना  =  involve
This possibility never entered into our calculations.

शुरुआत करना  =  start
Enter into negotiations/conversation/correspondence.

शामिल होना  =  take part
Enter into the spirit of an occasion.