If you are concerned that your cat is drinking or urinating more, it is really important that you arrange a consultation with a vet. They are likely to do a blood test to investigate all the possible causes discussed above. They may also require a urine sample. If you can get a urine sample before you go these might be useful for the vet.
To get a urine sample, you can either purchase non-absorbable cat litter from your vet or online. The first urine sample of the day provides the most accurate results, and try to get the sample to your vet within a couple of hours.
Once your vet has these results they can direct you on what to do next.