what is the longest range and cheapest wireless module?

Hello,

I am currently controlling a robot with a bluetooth module HC-06. The range is not very good and I don't like to connect the bluetooth module to my phone in order to control it.
1.What type of module instead of the bluetooth module do you guys advice me.
I looked ebay for wireless modules (arduino use as board):
-RF Transmitter and Receiver, only for 1pound

http://www.ebay.co.uk/itm/Brandnew-1x-315Mhz-RF-Transmitter-and-Receiver-Link-Set-f-Arduino-ARM-MCU-WL-/371003209527?pt=UK_BOI_Electrical_Components_Supplies_ET&hash=item566183b737

Launch distance :20-200 meters (different voltage, different results)

Operating voltage :3.5-12V

2.I don't know the type of communication it uses?

Then I look at controlling from internet

-Is the Arduino Ethernet Board module good?

3.Which one is better to go for, the first one or the internet way or any other suggested way?

How big is your robot? You could make a simple internet controlled routerbot like below fairly easily.

http://www.lynxmotion.net/viewtopic.php?f=20&t=6343