What's the best software to design the mobiles apps?

Apache Cordova is an open-source mobile development framework. It allows you to use standard web technologies - HTML5, CSS3, and JavaScript for cross-platform development. Applications execute within wrappers targeted to each platform, and rely on standards-compliant API bindings to access each device's capabilities such as sensors, data, network status, etc. 

for me i think photo editor pro is the best

Axure RP. business and UX professionals can analyze problems, design solutions, and create interactive prototypes without code -- in one tool.

Photoshop

Because he is providing full designer needs to produce an interface application with ease, providing the programmer can base from which to deal with the application comfortably.

I would advise you to start with C# which is the basis for the rest: Java( android) Objective C ( apple ).
Just download an application for your computer and follow the videos tutorials, http://channel9.msdn.com/Series/C-Sharp-Fundamentals-Development-for-Absolute-Beginners it isn't hard , I didn't and I never programmed.
C# is the base of windows, so you can program for windows system.
After know the basis, you can go and will understand better Android and Apple.

For Android you have the Android SDK and then there is Eclipse to test your app. If Eclipse is too slow, as it usually is, you can test your app directly on your android phone.

try GameSalad.
it is an interactive software, and you can develop apps for both ios and android devices.