The easiest and most time efficent way to connect to the internet regardless of the cost I am working on my graduation Project. I want to use the cayenne (mydevices) platform to control my Arduino. Mainly I want to be able to control a servo Motor through the Cayenne app and I want to use a gyro sensor that would also control the servo using the app after obtaining the readings from the sensor. The Options are:
1- Yun arduino 
2- Arduino Ethernet
3- Arduino uno (which I currently have) + Arduino Ethernet shield or arduino wifi shield

Cayenne (mydevices) APP supports all of the above Options 

What is the easiest to implement? I have short time period and working on the mechanical design for the Project in the same time.

Your help is appreciated
The Arduino Uno and Arduino Ethernet are very simple to program, to connect it to the Internet. 

I never used the Yun Arduino, but it seems a little bit harder.