Here's Where to Bank. Online banks tend to have higher savings rates and lower fees than brick-and-mortar banks, making them good places to keep multiple. Currently I have a credit card and a checking account with them. I want to separate my emergency fund/savings/etc. Saving. I bank with Chase. We first called Chase bank, whose representatives (we called many times) claimed that the. The bank offers multiple options for checking and savings accounts. Chase Bank offers a wide range of products, including car loans, business loans, mortgages. While savings interest rates tend to be low and some fees are high, Chase has a good basic checking account. Mortgage Loans Fortunately, Chase Bank does offer mortgage loans to prospective homebuyers. However, this does not influence our evaluations. With year fixed mortgage rates as low as 2. Our partners cannot pay us to guarantee favorable reviews of their products or services. The most popular cards are the Chase Chase bank multiple savings accounts Unlimited Card, which has no annual fee and unlimited 1.