Yes, debit cards with a Visa or MasterCard logo can be used if your center accepts credit card transactions. Since there is no PIN entry system debit cards will be treated like credit cards and processed at the credit card rate.
Point of Sale (Card Swipe)
To use debit cards for Point of Sale (card swipe) transactions just follow the standard Point of Sale instructions.
Recurring (ACH) Payments
Debit cards should not be used for recurring payments. Instead set up the Bank Account Information for the family. This way payments are withdrawn from the family’s bank account (just as they would be with a debit card) but the center will not incur any credit card processing fees.