Space is vast... far bigger than you're imagining. Probably the best analogy, that I've heard, to put your mind at ease: think about how many cars are on the road today.

There are about 1 billion cars.

Is the surface of Earth crowded?

Well, not only is the surface area of a single sphere in low-earth orbit (LEO) bigger than the surface area of Earth, you have to remember we're dealing with volume. We can move in three dimensions and thus there are many "surfaces".

There's an order of magnitude more space for things in space. ;)

We're not even going to get close to delivering 1 billion objects to orbit anytime soon. And even then, it wouldn't be crowded.