Starlink's light pollution is especially annoying because those satellites are pretty close compared to other stuff in space, so they reflect a lot of sunlight even when it's already nighttime for us down here. If you want to do observations from your balcony, a practical option is to find a website or app that shows you in real time where the Starlink satellites are in your area - some of them alert you when they're going to pass over you - so you can avoid taking photos right at that moment.
Professional observatories have it tougher because their exposures last minutes or even hours, and in that time it's almost certain that some satellite will pass by leaving those white streaks that ruin the image. With your telescope from the balcony you have more flexibility to wait for them to pass, so take advantage of that.