I would at least split the furniture and appliances into two groups. I bet you'll get a better deal, that way. 
For appliances, look at Lowe's, Sears, and Home Depot type stores. They deliver, have service and warranties, and you know they're not going to disappear in a year or two.
For furniture, look for those "complete package" stores. They usually have everything set up in their showroom and you can buy the whole room, accessories and all, if you want. They also offer no interest for up to 5 years, and sometimes more, depending on how much you spend. I don't know about Vegas, but in the South we have: 
http://www.roomstogo.com/
http://www.roomstore.com/
http://www.ashleyhomestores.com/
If you don't have any of those, I bet there's something similar.