If it’s about seeing flamingos I would prefer to visit Lake Baringo in Baringo County. If you still decide to visit Lake Nakuru, the Nationalpark is just a 10 minute ride from Nakuru town. But you’ll need a vehicle to enter the park.

Game drive in Nakuru ah well I would rather save money and extend another game drive in Masai mara

I differ a bit from the suggestions made by other travel enthusiasts. yes, it is right that the concentration of flamingos have declined in nakuru due to water level rise and reduction of alkalinity, but a lot can be seen there still. Come in the early morning to see them feeding, playing, making love amidst the early mist. I am sure you will never forget the ambience. Apart from them huge groups of pelicans will also welcome you along with other waders and land birds. Apart from rhinos, two horned and huge, black (if you are lucky enough, IUCN red in think) and white, not found elsewhere you will see hyenas, jackals, leopards, and of course lions prides. This is true jungle and not man made so LUCK is needed. I think don't miss.

Do you mean booking the Nakuru game drive from the Nairobi National Park or from Nakuru National Park ? I am not sure why you would like to do this - as long as I am aware, it is not cheaper to book at the spot and you are not sure about what guide you will get ( English skills, etc.) You would also somehow need to get to Nakuru from Nairobi and thats why all tours have a bulk price with all included. Otherwise, you can for sure get something organized from the hotel where you are staying in Nakuru .. they would have contacts to local tour agencies.

Flamingoes have moved to Lake Bogoria, where you will find in plenty.

I rented a car to go there. You need the guide to go inside the Park. So, I paid for my ticket and for the guide before being allowed to go inside the Park. I went inside with the guide car.

When we were there the Flamingoes had flown to Lake Baringo. You can ask the locals or hotel you are staying at and they may tell you where they are.