private as possible
What are you trying to hide, and who are you hiding it from?
I dislike that some privacy forums, like reddit and therefore here by proxy, have a cultural habit of talking about privacy or security as an abstract value in itself. But when we start getting into more detailed questions, it's all vague and vibes until we make it clear who we're trying to hide from and what we're hiding.
For example, most of the time I'm not hiding from my own government. Sure, I incidentally do make it a bit harder for them to track me, but I'm more focused on hiding from Meta/Alphabet/Amazon/etc. (plus from a small group of deranged online stalkers obsessed with some of my friends) so there are plenty of online services and stores I can buy from without taking inconvenient measures. It's fine for me if some services can guess my name and know where I live and one of my phone numbers. It's not fine if they learn some other details.
It's important to get out of the habit of saying "more private", "less private", "most secure", and talk about what your specifically concerned with and how tactics and tools specifically address that. What information will Google gain from knowing your investments? Is that a threat to you? Are there acceptable ways to mitigate that threat?
Using google to create an account would mean giving them my real data
I've been surprised how easy it was for me to make a fake Google account with no links to my real identity. I only use it for age-restricted YouTube videos, I wouldn't trust it with money like investments, because the way I set it up is inherently suspicious and I wouldn't be able to verify identity if challenged.