Hi Jill,
I open Font Base before I open Photoshop. If I open Photoshop first, and then Font Base, PS doesn't pull in any of the fonts in Font Base into PS.
I just checked my actual Fonts Folder (I'm on a PC running Windows 10) and in my Control Panel > Fonts Folder, I have a total of 196 Fonts (none that I've installed, but came installed on the laptop.) The screenshot that I did a few weeks ago, shows in my Font Base, I have 4,791 Fonts available to choose from. It has been a while, but I believe when I first set up Font Base, it asked if I wanted to have Google Fonts pulled in. If I recall correctly, at that time, I don't believe PS had access to Google Fonts like it does now. If the program did, I certainly didn't know how to pull them up to use them in PS, so I indicated that I wanted them pulled into Font Base and mixed in with the Fonts I had downloaded, so the 4,791 number, includes 3,045 Google Fonts.
I have a folder that I created inside my Documents Folder. Each time I download a new font, I unzip it and put the font files into this folder so they are all in one place on my computer. When I set up Font Base, it asked me what folder(s) I wanted Font Base to pull in, and that folder is the one listed in my screenshot that say "Fonts - CU or..." and at the beginning of December when I did the screenshot, I had 1474 font files inside that folder. Each time I add a new font to that folder in my Documents Folder, I go over to Font Base, wait about 10-15 seconds and it pulls the new fonts into Font Base and they show up under "Inactive" right under Active. I click on Inactive, and there is a circle in front of each new font family, and if you click on each one, it moves them to Active and they are ready to use.
Before I knew about Font Base existing, on a prior laptop, I would actually install the Fonts into the Windows Font folder, which slowed my laptop to a snail's pace, so I was thrilled when I ran across Font Base, as those 1474 + 3045 Google Fonts are not "installed" on my laptop, but by having those pull into Font Base, and then Font Base opened before I open PS, all of those fonts are available to me in PS, Word, Email, etc., without having them installed on the hard drive of my laptop. What is super nice, is having all my downloaded fonts in their own folder in my Documents, as I know those are all fonts I've download (and aren't essential for Windows 10 to function), so if I work with a font I've downloaded and for one reason or another I don't like it, I can easily delete it from that folder, without worry if it is an essential font for Windows to operate.
You could create a folder on your computer and only put fonts in it that you like to use in PS, and then have Font Base check only that folder on your computer for new fonts. If the option to pull in Google Fonts is still available, you could tell Font Base that you don't want to pull in Google Fonts, as that would help to streamline how many fonts you'd have available in PS.
Hope that helps a little!