Hold onto that account like it's gold. My bank's savings accounts are 0.01%. With a minimum of $10,000 it goes up to 0.05%. At 1 million dollars, it's 1.4%.
None of them are fixed, they go up and down along with the Fed rate. "High-yield" was 1% a few years ago, but no one should be keeping substantial amounts in any savings account that only offers 0.01%.