Want to setup basic home audio system

Agree that with that tight of a budget used is the way to go for everything.  If you are patient, you can pick up gear in new condition for sometimes almost half off.  A nice integrated like a Marantz or NAD and a pair of smaller monitors.  As an example:
ELAC Uni-fi UB5 Bookshelf Speakers (PAIR)
on this site asking $400.  It can be fun putting together a system on a tight budget.  The key is setting it up correctly in your room .  That is what will make it go from "nice" to "I can't believe how good this sounds for $----!"

Start with the speakers.  You listen to a wide range of music.  This will make it difficult on a tight budget.  Might be better to start with decent monitors that get the midrange and treble right knowing you could always add a sub later as funds allow.  Then you need to focus on getting an integrated that complements your speaker choice, sonically and electrically (able to drive them well).