The jump at the end of the first screen requires a perfect flutter. Most runners spit a bumpty to bounce on as a backup in case they miss the perfect flutter. Opening the star clouds in room 2 can despawn the midring, meaning you don't have to jump over it. You need at least 4 eggs at this point for the despawn to work. Reference the video for navigating the tap-taps, or bouncing on the penguins at the end of the level.
If you are having a hard time avoiding the tap-taps or just want to swag, you can take the snowball.