I took my rings etc, but I never take them off.
If you are worried that you will take them off and leave them somwhere, then probably best you leave them at home
I wouldn't say that Safari Park is better than Waterbom.
We stayed overnight at the Safari Park last trip and the kids loved it. Its a great experience and there are heaps of package options to get out of it what you want.
Waterbom park is a fantastic day - nothing better than getting a gazebo, setting yourself up and taking turns with DH to lay around doing nothing or going on things with kids.
They are both a different experience that I don't think you can really compare them against each other - except that I wouldn't visit the Safari Park every Bali trip, but I would go to Waterbom Park every visit!
Ashtonsmum - SO JEALOUS!!