I swear I’m not snobby but that’s a pretty low dollar amount for that much new furniture. I would think new your only chance of meeting that limit would be places like Jerome’s or Ikea. And hey, nothing wrong with those options if you are OK with the quality and like it. But I wouldn’t expect the pieces to last forever. If it were me, I’d spring for the good quality couches and go used on the occasional tables. If you get used, good quality wood occasional tables you could always refinish the pieces to match wood stains or get lucky and find a grouping for a good deal on Craigslist. Or go unfinished and do them yourself. Personally, I hate furniture shopping so I pick classic, good quality stuff that will last.
The one recommendation I would have is to get microfiber fabric on the couches, especially if you have kids.