The statements that accurately describe a good way to avoid excessive service fees are:
II. Try to limit the number of withdrawals you make from out-of-network ATMs.
This statement is correct because using out-of-network ATMs often incurs additional fees from both the ATM owner and your bank.
I. Try to deposit money in large batches rather than in small amounts.
This statement could be misleading as it does not directly relate to avoiding fees. The frequency of deposits itself does not typically incur fees unless specific account terms apply.
III. Try to avoid using your debit card online.
This statement may address security concerns, but it doesn't directly relate to avoiding service fees that incur from transactions.
Thus, the most accurate answer focusing on avoiding service fees is:
b. II only