Private Equity funds

I have been a IWDA investor for a decade. I d like to add some Private Equity funds to my portfolio. Probably this can’t be done with ETFs (since i think ETFs can track PE providers but don’t give exposure to the funds themself).

I m not a private banking client. Is it possible to invest in PE?

PS: I’d only consider PE from a big player and not a small local fish (to avoid stuff like Optima).

Thanks for your ideas