For Android development definitely Android Studio is better than Eclipse. I have worked on Eclipse for almost 4 years but when I switched to Android Studio, I felt the difference. Below are few points I have noticed:
Performance:
Android Studio's performance is better than Eclipse and improving with each new release.
Intelligent:
Android Studio is more intelligent than Eclipse. It gives you suggestions more accurate and fast
More options:
You can build multi flavor APKs at once in build.gradle
Summary:
After working on Android Studio if you will work on Eclipse you will feel the same as driving a entry level car of Toyota after driving Lamborghini Aventador :)
I felt this difference
Update:
Android Studio 2.0 is coming. Its very very fast than current Android Studio. http://android-developers.blogspot.jp/2015/11/android-studio-20-preview.html
Update:
Android Studio 3.0 is released. As I mentioned 2 years ago about the difference, Android Studio is getting better day by day. Have a look into AS 3.0 : https://android-developers.googleblog.com/2017/10/android-studio-30.html
Update:
Android Studio 3.3 has been released last month. Please check here for more details: https://android-developers.googleblog.com/2019/01/android-studio-33.html