Was there about a month ago and was not charged for parking for the first car. Any additional cars will have have to pay the parking fee. All parking is by valet.
Since I drove there I am not familar with shuttles, cabs and what they charge. The Tahoe airport is close but if you are landing at Reno it probably would be a very expensive cab ride to the hotel. A car would be cheaper.
I believe it is necessary to have a car at this resort because there is much to do and see in the area. However, if you just want to stay in South Lake Tahoe you can get along fine without a car. Timberlodge's location is excellent as you can walk to the casinos, restaurants and the gondola. Grocery shopping is close but I think the hotel also has a shuttle. If you want to go for a boat ride on the lake they will pick you up at the hotel.
It's a great place to vacation.