Straight bleach will damage your pool liner. I'm assuming you have an inground pool? Your best bet will be to use intheswim.com. They are the same price that we pay at our local pool store and we couldn't find any cheaper pool chemicals anywhere (online or in town).
Don't know if this will help, but if you have an Ollie's, they carry pool shock and my good friend who has a pool told me the prices were good on the shock.