3% is becoming more common as of the last few years, at least in the US. I know several banks off the top of my head that offer 3.5% or higher (and more if you are a new customer) for their savings accounts. I would persuade people who use banks that haven't moved on from near-zero APY to move on themselves.

3% is roughly inflation.

I’ve been thinking about moving some money over by selling some shares and opening up a savings account with enough money to make a difference.

3% is typical for a HYSA (Ally, for example)