Hi Amy,
Before jumping to behavioral, I'd probably run a general chemistry and CBC (complete blood count) to rule out a medical reason for this change. If she is drinking more, then naturally she'll be urinating more. If she is urinating more because she's having a hard time concentrating her urine, then she'll in turn drink more to compensate.
Some thoughts regarding the increased urination and possible causes:
1. Diabetes- easily tested for with a blood and urine glucose
2. Cushing's Disease- an ACTH stimulation test is needed to confirm, but the chemistry will likely show increased liver enzymes (ALT, ALK Phos). This may be our most likely, other signs you may see- increased appetite (check), pot bellied appearance, panting
3. Addison's Disease- again an ACTH stimulation confirms. Some things on bloodwork would be decreased Sodium and increased Potassium.
4. Kidney disease/ failure- Bloodwork will show increased kidney enzymes (BUN and Creatinine, possibly Phosphorous), urine will be dilute with a specific gravity of 1.008-1.012
5. Liver disease- increased liver enzymes, maybe a decreased Cholesterol and BUN
That should be enough to get you started. As you can see, increased drinking and urination can be a laundry list of potential medical conditions. A CBC and chemistry will help to rule in or out the most common causes. If all is normal, then we may be dealing with either behavioral or canine cognitive dysfunction (aka dog dementia) which is often unrewarding to treat.
Hope that helps steer you in the right direction. If bloodwork is done and you need help interpreting the results, I'd be happy to help.
They are all treatable. Kidney or liver disease is managed, not cured. Cushing's and Addison's are treated and do well. Diabetes is treated with insulin and they do well.
With any of the above, a good quality and quantity of life can be attained with appropriate management.
Dog Veterinarian
DVM, Emergency Veterinarian; BS (Physiology) Michigan State Univ