How to replace the battery in an old timex watch?
If it’s worth more than 30$ (or makes your ass look good), take it to a jeweler. We had a family heirloom ruined because someone from W’mart let a screwdriver slip into the gears and damage them. It might cost a dollar more for the battery, but they do this for a living and won’t break anything. If it’s water resistant, you can let them send it in to the lab and they will change the little seal for you.
I’ve taken watches in to Batteries Plus and they’ve done the whole process. I’ve not a friggin clue where you are from your profile so this, or something similar, may or may not be available in your area. Otherwise, yeah, just pry the back off take the battery out and check local drug/hardware stores.