When you're logged into your work account (say, in GMail), does the URL contain /u/0 or /u/1? And how about your personal account?
Whichever one says /u/0 is the first one you logged in as, and that will be the default if you, say, open a new tab and paste in a bare link (without /u/ in it).
If you want that to be your personal account, you can make that your /u/0 account by doing this:
1. Log out of all your Google accounts
2. Log into your personal account
3. Click the picture in the upper-right
4. Click "add account"
5. Log into your work account