Tolyatti a city is in Russia.
Tolyatti does not have its own commercial airport; however, an international airport is located in nearby Samara. In fact the airpoirt is located between Toliatti and Samara. There is a shuttle bus, which can get you to both of the cities. The price for shuttle bus is ~150 rub. Taxi from airport to Toliatti costs around 500-800 rub. Better to order it online, since drivers near airport may ask you double fare.
A train service from Moscow is provided by train 066Й, departing the rail station Kazansky vokzal daily at 4:10PM, arriving in Tolyatti just after 10AM the next morning.
Private apartments are used to be quite cheap. There are plenty of ads websites which offers you flat for short-term stay. If you need owner to be an english speaker, then it is better to use something like "booking" or "airbnb" services