When I was new here -- Just a short 2 months ago -- I found the SEARCH button. Then I read for a few weeks, then I started asking questions. Read, process info, ask detailed questions.
Now, to try to help you.. My 300w/600wPeak inverter cost $30 on eBay, its over kill and I'm thinking of scaleing back to something in the 150-200w range, so I don't zap main battery as fast

You will want to NOT use Computer speakers - Ghetto is not better. You can use a tape adaptor (Ghetto

) or an amp or an aux-in on a HU to run it. Lots of options. 1DIN LCD, I'm not too sure..
www.digitalww.com might help a bit.
Also, post specs on your car and what the goals are.