Acid is needed to lower your TA. However, it'll also effect your pH.
This will take some time and patience due to the double-effect Muriatic Acid has on both your pH AND TA.
Lower your TA with acid and then aerate your pool to help raise the pH back up. In fact, I'd aerate NOW or set up to aerate somehow and work on raising your pH.
When the pH is nice and high (7.8 - 8.0 ish), you can hit it with acid.
Well, I guess the link is echoing what I'm telling you. LOL!
You may wish to 'work on' figuring out a good way to aerate your pool. I made myself a PVC 'rack' (2" PVC filled with sand) in which I wrapped a soaker hose around and then hooked my air compressor to the soaker hose to create some serious bubble action. If you can get a good aeration program down, you can make this go a bit faster but it will take a couple weeks.
What is the TA of your fill water? A water change could possibly help.