Where can I find an ic at home relevant to my project?
I like to use Octopart to search for ICs and their datasheets.

To build an audio amplifier, you do not need to use any ICs.  You could start by building a simple BJT amplifier.  It should not be too difficult to find bipolar transistors in random (old) electronics.  Focus on the 3-legged parts.  Look for 8-legged ICs - they may turn out to be op amps.  While you have the electronics in front of you, take a picture of the board (both sides), for later reference.  Try to follow the traces and understand how (part of) the circuit works.  It is a fun thing to do, you learn a lot, and it helps you identify parts.