You might also need battery charging bags for additional safety when charging the batteries. And if you are going to get LiPos, definitely do more research on how to use and take care of them.
As a general rule of thumb for LiPos, always balance charge, so that the cells in the battery remain...
1400/5= 280 budget per car
For touring cars, Tamiya's TT02 platform is pretty good (around $130 depending on the specific model). For Short Course trucks, the only kit that's within budget is the Traxxas Slash 2wd kit ($200).
The Tamiya touring cars do not come with transmitters, receivers...