That'll work.

Two cautions:

1. If you take your water to be tested by a pool store that can accurately measure either your FC or CYA levels, they will freak out, and give you dire warnings that you'll soon get hairy palms, that your great-grandmother and great-niece will surely die of instant cancer of the toenail and nasal hair, and that your garden plants will mutate and eat you. Ignore them.

2. If you get algae, you will either have raise your chlorine VERY high . . . and it will stay there for weeks OR you'll have to use a lot of polyquat ($$$) or you'll need to add a small amount of sodium bromide. Your best option: maintain circulation and chlorine and don't get algae. Second best: sodium bromide in as small amounts as possible. I'll cover this option before summer.