+1 on Yamaha (though I'm not familiar with the models). Your budget is a bit "tight" to get both a good bass and an good amp. In the low end, it is easy to get a bass that won't give you nice low "action" (string-height) without buzzing. Yamaha seems to be doing a good job in the low-end basses providing good fretwork. Ibanez too, last I checked.
Don't get too carried away with all the various bass features. For quality in the low-end, "less is more". The most expensive part of the bass is the fretwork due to the labor involved in getting it right; everything else is pretty much just "manufactured" (automated). I suggest doing some searches on fretwork (setup, relief, low action, fret-buzz, etc.). Since you're new, it would be easy to buy a bass that will never play well (bad action). Before you buy, visit the setup forum here on TB and learn enough about setup so that you can make sure your new bass neck is OK before the 30-day return period offered by most places expires.