Along with the softened butter, should I bring the eggs and yogurt to room temperature? I am a fairly new baker and lots of recipes seem to suggest th

Good question and the answer is yes! Room temperature eggs and dairy will help the batter to blend more evenly whereas cold eggs cold re-harden your fats (butter). They also whip up higher and make for a lighter batter and cake. If you’ve forgotten to take your eggs out in time, simply submerge them in a bowl of warm (NOT HOT!) water for ~10 minutes.