Mix 32 ounces cream cheese in a large bowl until very smooth. You can use a handheld mixer or wire whisk. If the cheese is at room temperature, mixing it by hand should not be a problem. If using a hand-held electric mixer, use it only for this part and at the lowest temperature. We don't want to incorporate air into the batter.
Gradually add 1 ¼ cups sugar and beat until sugar is very well incorporated.
Add 5 eggs, in 2 additions, mixing until incorporated, and scraping down the sides of the bowl after each addition. Be patient and don't be tempted to beat much.
Add 1 teaspoon vanilla extract, ¼ cup sour cream and ¼ cup heavy cream, stirring to incorporate.
Pour the batter into the prepared pan of choice, scraping the bowl with a rubber spatula.
Bake the cheesecake for 10 minutes at 325°F (165°C), then turn the oven down to 300ºF (150°C) and bake for another 50-55 minutes. At this point, the cheesecake should jiggle quite a lot in the center but not feel wet. This can vary depending on your oven and take longer. It will solidify a lot as it cools.
Turn the oven off, open the door ajar, and let the cheesecake inside for 1 hour.
Remove the springform pan from the oven and carefully run a smooth-bladed knife around the sides to loosen any stuck batter. If it's too tender, let it cool longer before doing this. This will help prevent cracks from developing as it cools and shrinks.
Cool completely to room temperature in the pan on a wire rack, cover in plastic wrap (still in the pan), and refrigerate for at least 8 hours. I find that 1 to 2 days in the fridge before removing it from the pan and eating it, renders the creamiest consistency.
Top with the cherry topping and serve.