.bin files are normally self-installing binaries. You should be able to just run them, providing they are executable: "chmod +x nameOfFile.bin", and then
You may need to be root. What program are you trying to install ?
/usr/local/bin is a directory that contains programs that you want to run. Any executable in here you can run simply by typing its name. /usr/local/bin should be in your $PATH, which is the list of directories that is searched for executables. To write to this directory, you need to be root.
You don't need to put the installer file in /usr/local/bin, you can run it from any directory.
I hope this helps