I have installed Java ADT Eclipse on my Windows 7 Machine.
I have installed KIES3.
I have installed the drivers from http://developer.samsung.com/android/tools-sdks/Samsung-Andorid-USB-Driver-for-Windows onto my PC, which gives me a folder full of this stuff:
29/04/2014 21:07 <DIR> .
29/04/2014 21:07 <DIR> ..
29/04/2014 21:06 <DIR> 01_Simmental
29/04/2014 21:06 <DIR> 02_Siberian
29/04/2014 21:06 <DIR> 03_Swallowtail
29/04/2014 21:06 <DIR> 04_semseyite
27/04/2014 22:58 <DIR> 05_Sloan
27/04/2014 22:58 <DIR> 06_Spencer
29/04/2014 21:06 <DIR> 07_Schorl
27/04/2014 22:58 <DIR> 08_EMPChipset
29/04/2014 21:06 <DIR> 09_Hsp
29/04/2014 21:06 <DIR> 11_HSP_Plus_Default
27/04/2014 22:58 <DIR> 12_Symbian_USB_Download_Driver
27/04/2014 22:58 <DIR> 15_Symbian_Samsung_PC_DLC_Driver
29/04/2014 21:07 <DIR> 16_Shrewsbury
27/04/2014 22:58 <DIR> 17_EMP_Chipset2
27/04/2014 22:58 <DIR> 18_Zinia_Serial_Driver
27/04/2014 22:58 <DIR> 19_VIA_driver
29/04/2014 21:07 <DIR> 20_NXP_Driver
27/04/2014 22:58 <DIR> 21_Searsburg
27/04/2014 22:58 <DIR> 22_WiBro_WiMAX
29/04/2014 21:07 <DIR> 24_flashusbdriver
29/04/2014 21:07 <DIR> 25_escape
26/12/2013 06:43 1,057,536 dgderapi.dll
26/12/2013 06:41 525,792 DIFxAPI.dll
29/04/2014 21:07 <DIR> lang
26/12/2013 06:44 1,523,968 Uninstall.exe#
However, I still can't work out how to get my Samsung Galaxy to be recognished as an ADB device.
I have tried every answer that I can find on this site, but none of them are working. Any ideas?
From your comment it appears as though you have the developer options enabled, but have not yet enabled USB debugging.
In order for ADB to see your device, you must do both. The following is from Setting up a Device for Development, and talks about how to enable USB debugging:
On most devices running Android 3.2 or older, you can find the option under Settings > Applications > Development.
On Android 4.0 and newer, it's in Settings > Developer options.
Note: On Android 4.2 and newer, Developer options is hidden by default. To make it available, go to Settings > About phone and tap Build number seven times. Return to the previous screen to find Developer options.