I hold a Philippine passport and currently live in the UK with a 3 years Tier 2 (Working) Visa. I am seeking to apply for a Schengen Visa. I have booked for a 2 day holiday to France, then go back to the UK for a week, then go to Greece for a 2 week holiday. I also plan to travel to Malta after 2 months. I have set an appointment to the Embassy of France. How do I increase my chances of being approved with a multiple entry Schengen visa? Do I just submit my travel plans to France only or should I mention that I intend to travel to Greece as well? If I get a multiple entry Schengen visa from French embassy can i use this to enter Greece and Malta? If I get a single entry to France, how to I apply for Greece and Malta? Do I need to do that seperately?

Thank you in advance for any advice.