Hotmail ( also known as Outlook.com and Live.com ) is a free web-based email service run by Microsoft. Hotmail was acquired by Microsoft in 1997 and launched as MSN Hotmail, later rebranded to Windows Live Hotmail. Now, Hotmail is Outlook.com ( exactly it was replaced by Outlook.com in 2013 ).
Official Links : Hotmail Login - Hotmail Sign Up
Gmail by Google is one of the world’s most popular and widely-used free email clients, and is often required when using Google-driven wireless devices such as smartphones. Gmail is widely accessible, and can be used on nearly any wireless device that has an Internet connection, including iOS
Official Links : Gmail Login - Gmail Sign Up