In a large bowl, whisk together flour, salt, and baking powder. Gradually add milk while whisking (or mixing with a hand mixer). Follow with water, continuing to whisk until smooth. Now add the eggs and mix until fully incorporated. At the very end, use a spatula to scrape any flour from the sides of the bowl, and mix it in, to avoid potential crumbs. (If necessary, transfer the batter to another bowl through a strainer or colander.) The batter should be completely crumb-free and have the consistency between milk and heavy cream.
(Optional) If possible, rest the batter in the fridge for 30-60 minutes (or more). If the batter separates, whisk again before frying palačinke, adding a pinch of water if necessary. (We recommend making crepes the night before for this recipe, however, take them out of the fridge, and let them rest at room temperature for 1 hour before you start cooking. Alternatively, gently warm them up as cold crepes can break.)
Heat a pan thoroughly over high heat. (However, if your stove runs hotter than most, you can cook them on medium to medium-high heat. Adjust the temperature according to your stove.) Crunch up a paper towel, dip it in oil, and grease the pan lightly but thoroughly (watch your fingers!). (As you're using a small amount of oil on a very hot pan, there is no need to heat the oil further before adding the batter.)
Using a ladle (or a ½ cup measuring tool), pour the batter into the pan. Swirl the pan around (it may take a couple of swirls). The batter should swirl 'lazily' until it is distributed evenly over the surface. Cook the first side for 30 seconds to 1 minute, or until the edges start to brown and lift slightly. Flip with a spatula and cook the other side for 30 seconds more.
After one palačinka is done, coat the pan with oil again using the same paper towel method. While coating it, remove any crumbs that may have stayed from the previous crepe. Repeat until you run out of batter. You should have about 12 or more crepes with this amount of batter.