High interest savings accounts are commonly available online, as traditional banks are unable to give high rates on the majority of their accounts. Many customers have been choosing to put their money into high interest savings accounts, as it obviously would yield a higher return. However, aside from online banks, there may be community banks in your area that can offer a high interest savings account as well.
Doing research into the banks in your area may yield surprising results. Many small community banks are able to offer higher interest on savings accounts, since they are not concerned with stocks, making high profits, or pleasing shareholders, but rather they are simply in the business of banking.
Credit unions also may be a good place to look when searching for a high interest savings account. A membership is required for a credit union and credit unions are there to serve their members, so again, their priorities are not elsewhere, hence the better rates.
It goes without saying that you will have to look in your specific area for a bank or credit union that offers a high interest savings account and sadly, not everyone will be able to find such a lending institution. However, if you will take to the time to do the research, you may find a savings account that is going to be more profitable than what you have currently.