Eclipse should be one of the most straightforward installs you have ever done. Make sure you have a Java SDK installed prior to extracting Eclipse. Otherwise it should work out of the box. Be sure not to move the eclipse executable out of the directory that you extract it to (make a shortcut to move instead).
The Android SDK should also be largely painless. Use the tool provided with the SDK download to setup the versions you want. The documentation is pretty good for this. (see Brian's link)
It can be much trickier to get the drivers for specific handsets working though, so you have that to look forward to down the road. They will come from the individual manufacturers developer websites.
Also is this for Win, Linux, or Mac? I will link you a walk through for the one you need.
Video tutorial for installing Android SDK on Win7 - http://www.youtube.com/watch?v=YeWH6Bj1DYw&feature=related
Installing Eclipse on Win 7 64bit - http://goo.gl/eNT6 and http://goo.gl/1Gvw
JVM - http://www.eclipse.org/downloads/moreinfo/jre.php