Ask if they offer Care Credit. You can take out a loan and make monthly payments with 0% interest if it's paid back in a certain amount of time. If you can't pay it back in the allotted time, the fixed rate is 9.99%. Most of the vets in my area offer it, and the vet I used to work for offered it also. A lot of people go that route.
It's kind of like having a credit card. You are approved for a certain amount and once it's payed off that's it, but if something else comes up and you need more vet care, you always have that amount on your care credit card for you to use. You can even use it for yourself if God forbid you get sick and need to pay a large amount of money to your Dr. If your Dr. accepts Care Credit, you can use it for yourself too!