New brakes squeak AFTER I remove my foot from the brake pedal!

I’m willing to put the Toyota brake pads on. I just want to make sure that’s going to solve the problem. I read somewhere that excessive brake dust could prevent the brake pads from releasing fully and that could be causing the squeal when brake isn’t being applied. That makes some sense to me, but I really don’t know anything about cars. I don’t want to spend more unnecessary money if I don’t have to. I’d also like to make sure the next person who works on my brakes really knows what they’re doing!

Thanks for your reply! I appreciate it!