I have had a kidney removed, so try to look after the one that is left!
After the other one was removed, the hospital told me I had to drink lots, so I drank a bit more. No need to worry about going to the loo, I had a catheter. I think I was the only one who they told to "stop drinking, you've had plenty!"
There is an easy indication of whether you are drinking enough. It's the colour of your pee! I've seen a chart in the past, no idea where though. If it's clear or pale lemonade, it's fine. If it's the colour of Guinness, go and see your GP!!
Also be concerned if you pee is smelly or cloudy. That's a rough guide of course.
I go to Greece for sunny summer holidays. If I haven't drunk enough during the day, and haven't peed as much as usual during the day, as soon as I get back to my room I have a drink, and then another. I always have some bottled water when I'm abroad, but prefer to drink tea or fairly weak coffee. I always take my own kettle, tea and coffee when travelling!
It doesn't matter if you have to get up at night, you will soon get used to going back to sleep again. However, maybe keep a diary of what you drink and when, then you can work out how much you can drink, and when , so you can sleep better.
On a lighter note, some things make you pee more than others. The French nickname for rhubarb is "Granny wet the bed"!