I don't trust any business to act responsibly with any information I give them, so I also use a lot of virtual cards and spoofed email addresses (actually I just use a catchall on my domain most of the time which is less secure I guess, but does most of what I need).
Privacy.com also has a browser extension and a mobile app. So it's easy to create/manage virtual credit cards per service. You can also create single use virtual credit cards that automatically close after a single transaction with a limit that you can set.
Their documentation may provide more current details than I can though.
https://support.privacy.com/hc/en-us/articles/7970157169943-...
I had tried Plaid at first, but quickly switched when I found out that they would watch your bank balance and disable your Privacy account if it went below $50. They would require you to prove a balance of at least $50 in order to enable the account again. Fortunately, both of the other methods don't really care, and as long as you disconnect Plaid while your balance happens to be over $50, your account will stay enabled.
Using privacy.com requires me to give them access to my bank, and I lose points, cashback, any charge back protection.