I was worried about that with my first binder as well. And actually, at first I didn't wear it. I was slim, and my chest was quite small, so it felt like a lot of compression for little pay off. But as my chest got bigger, I started using it more.
Another option is tight sports bras, which worked for me for a bit. I think I've heard some guys say this thing called the "frog bra" from walmart is good for binding too. It's OK to take baby steps if you're uncertain. I started off with clothes, then underwear, tighter sports bras, binder, packer, and all that was just over the course of two years (age 18-20). I did all that before I even came out and sought therapy/hormones. You may be like me, even if something is right for you, change is something that is intimidating.