The best brick-and-mortar savings account for banking at Chase Bank

Editor's Note: APYs listed in this article are up-to-date as of the time of publication. They may fluctuate (up or down) as the Fed rate changes. CNBC will update as changes are made public.

A big perk of having an account with your local brick-and-mortar bank is its easy physical access. Customers can choose to deposit or withdraw their cash by visiting the actual branch in person or by stopping by at one of the bank's thousands of non-fee ATMs, usually located in spots around your neighborhood or town.

Chase Bank is an example of one big bank that offers a broad network of ATMs for account holders to avoid any out-of-network fees. Customers who don't want to visit one of its nearly 4,900 branches can rely on the bank's 16,000 ATMs.

Chase also offers a chance to earn a slightly higher interest rate than the average brick-and-mortar bank offers: The Chase Premier Savings℠ account ranks on CNBC Select's list of the top brick-and-mortar savings accounts because you can earn better interest rates (what Chase calls "relationship rates") on higher balances by linking your savings to a Chase Premier Plus Checking℠ or Chase Sapphire℠ Banking. You must at least five transactions in a month using your linked checking account to get the rate. There is no minimum deposit required to open an account, unlike the case with other brick-and-mortar savings accounts.

Below, we take a close look at the Chase Premier Savings by breaking down its annual percentage yield (APY), access to your cash, perks and fees so you can decide if this brick-and-mortar savings account is right for you.

• APY
• Access to your cash
• Perks
• Fees
• Bottom line

The current APY for the Chase Premier Savings℠ is 0.01%, but savings account holders have the option to increase the interest they earn on their savings up to 0.05%.

Chase offers these better interest rates, or relationship rates, on higher Chase Premier Savings balances that are linked to a checking account: either the Chase Premier Plus Checking or Chase Sapphire Checking. When linked, account holders can earn 0.02% APY on balances under $10,000 and it increases to 0.05% for balances over $250,000. Account holders have to make at least five transactions per month using their linked checking account.

If you don't link your Chase Premier Savings account to a Chase checking account, the APY is a standard 0.01%.

Chase Bank has nearly 4,900 branches and 16,000 ATMs throughout the country — similar to what big brick-and-mortar Bank of America offers.

There is a $5 savings withdrawal limit fee when you make over six withdrawals in a month, including those made at a branch or at an ATM. This fee is waived, however, with a balance of $15,000 or more in the account at the time of withdrawal.

The six-per-month deposit and withdrawal limit is a federal law known as Regulation D that has been temporarily lifted during the coronavirus pandemic.

For those Chase Premier Savings customers who choose to link their account to a Chase Sapphire Checking, they can take advantage of Sapphire℠ Banking perks, including everything from special access of sports and entertainment events to early ticket sales.

Chase also has an automatic savings program where customers can get help reaching the savings goals that they set in the bank's mobile app.

There is no minimum deposit required to open a Chase Premier Savings account, which makes it stand out from other savings accounts offered by the big brick-and-mortar banks which usually require at least a $25 deposit.

There is a $25-per-month service fee, which is on the higher end (some charge as low as $4 per month). Users can avoid paying the $25 by either linking to a checking account or having a daily minimum balance of $15,000 in their Chase Premier Savings account.

The Chase Premier Savings is a good savings account option for those who want expansive ATM access, no minimum deposit requirements and perks of also opening a checking account.

By linking their savings to a checking account and making at least five transactions per month, account holders can score on Chase's higher-than-average relationship rates and earn more than the typical 0.01% APY.

For those who prefer banking with Bank of America or Wells Fargo, consider their two brick-and-mortar savings accounts we rated as our favorites: Bank of America Advantage Savings and WellsFargo Way2Save® Savings.

This tool is provided and powered by ML Enterprise Inc. d/b/a Engine by MoneyLion, which matches you with savings account offers from third parties. CNBC Select earns a commission from affiliate partner offers. The listings and ordering that appear in this tool may be impacted by several factors including advertiser daily budgets, compensation Engine receives, and the annual percent yield (APY) for the savings account offers.

To determine which brick-and-mortar savings accounts offer the most convenience, CNBC Select analyzed dozens of U.S. savings accounts offered by the largest national banks and credit unions. We narrowed down our ranking by only considering those savings accounts that come from brick-and-mortar banks with broad availability, offering access to at least 2,000 physical branches and over 4,000 non-fee ATMs in the U.S.

While the accounts we chose in this article are from the largest banks, we compared each savings account on a range of features, including its fees, opportunities to earn interest higher rates, customer service and any other special offerings or programs. We also considered factors such as insurance policies, users' deposit options, other savings accounts being offered by the same bank and customer reviews when available.

All of the accounts included on this list are FDIC-insured up to $250,000. Note that the interest rates and fee structures for brick-and-mortar savings accounts are subject to change without notice. Product and feature availability vary by market so they may not be offered depending on where you live. Most brick-and-mortar banks require you to enter your zip code online for the correct account offerings. Any return on your savings depends on the associated fees and the balance you have in your brick-and-mortar savings account. To open a savings account, most banks and institutions require a deposit of new money, meaning you can't transfer money you already had in an account at that bank.