My three picks for simple indoor watering come from Lee Valley:
These watering globes offer a simple solution that does not rely on electricity.
To tap into a larger water supply I would try these automatic watering devices.
A capillary mat under a pot can also work well.
Another option would be to choose plants that go long periods without water, or need a good soak only once per week (like a phalaenopsis orchid) and like drying out in between. Or something like the ZZ plant that stores water in tubers and can take a lot of neglect.
The CHEAPEST method is using a thick string or yarn to wick water from a bucket to your plant. You dip one end of the string in the water and then coil the string around the base of the plant.
But the BEST method, of course, is to leave a bottle of wine out on the counter next to written watering directions and have a friend stop by while you are away.