Welcome to the Alexander Palace Discussion Forum.
There is a variety of entrance fees -
The Catherine Palace
The Catherine Park
The Exhibition in the Cameron Gallery
The Exhibition in the Cold Baths
The Exhibition of Carriages
The Alexander Palace
These change annually and I cannot tell you this year's charges. I think it will be not less that $15 for the Catherine Palace.
From St Petersburg there are two ways to reach Pushkin by public transport -
By train from the Vitebsk station. It is a very long walk from Pushkin's railway station to the Palaces. It is interesting, but it does take time. Alternatively you can take a taxi - these are not expensive.
By micro-bus from the southern end of Moskovsky Prospect (not far from the Pulkovskaya Hotel). The buses travel regularly to Pushkin and Pavlovsk and if you can ask the driver, you can get off the bus quite near the Palaces.
tsaria