When i started to learn hangul, I went to korean101 alphabet on youtube. They have many explanations with consonats/vowels, double consonats, etc. It took me about a week to learn and 2 weeks to perfect. It also helps to write them down in your notes. 

I still find this way the best. Because they really break it down for you and even compare the similarities in the korean alphabet like ㅃ,ㅂ,ㅍ etc.  

https://www.youtube.com/results?q=korean+101+Alphabet

Check out Quick Korean at korean.cuk.edu.  It's an excellent Korean language resource that starts with teaching Hangeul and goes all the way through TOPIK level 4 grammar and level 3 vocabulary (rougly equivalent to B2 and B1, respectively).

Yeaah~!! I agree with the comments above, watching YouTube is a good way to learn Hangeul. And also, I recommend you to download some Korean Alphabet applications on your smartphone. There are a lot of free Korean Alphabet/Korean language applications on PlayStore (Android) and AppStore (Apple). You can learn it quickly because the apps are interactive and some apps also provide a test/quiz that let you know how much you understand Hangeul. I hope this will help you.

Korean Hangul apps on PlayStore:
https://play.google.com/store/search?q=korea%20hangul&c=apps&hl=in

buy korean from zero it's a really good book and easy to understand  :)

This a good video to learn Hangul:

http://youtu.be/ntdiHDORtAQ

And to help memerization with Hangul characters:

한글 가나다라노래

http://youtu.be/3E0A6oYvTpA

Enjoy learning!!