Welcome PFPAM,
FWIW, I found this forum when we faced a totally green pool opening this year. I came across a whole lot of problems due to the various additives of commercial pool chemicals, as have plenty of owners here. Just my .02 I wouldn't use several of the products I used even if they were free! The idea behind using bleach, and the other household chems encouraged here, isn't just to save cash. It's that they work in the pool with much fewer "side-effects". You can easily monitor what's going on & act/ add accordingly. In my case, I'd already added too much stabilizer/ clarifier/ shock packets by the time I found this site, but within 3 days, the calculated bleach additions got both the algae & the cloudiness out & its been crystal-clear since. Trust the seasoned folks here & you really will see as quick as possible as turnaround of your pool.
PS- I hope you don't run into Rocky, Bullwinkle or any other ex-pests in the deep end-LOL! Good luck!