If you're just using ordinary tap water, then just let it sit out overnight and most if not all of any chlorine would/should dissipate. Now whether you have hard water would be another thing and your water provider should have testings posted somewhere or would be able to tell you.
Back when i used tap water for my orchids I would letthe water sit overnight....the chlorine would dissapate. I quickly discovered though that our water is so hard that chlorine was the least of my worries. Now i collect rainwater.
If your community uses chlorine gas, the advice so far is good. If they use chloramine, standing won't do a thing, and you'd be better looking for another water source.
Great point Ray on the chloramine, was not aware of it. You might want to go to your county/city website and pull up the info there on the found water supply "utilities". I have taken my down to the lab a few years ago for other reasons but its a great source to get started with.
You can also call you local utility/water company and ask for a report on the amount of additives such as chlorine and chloramine. I know with mine they were more than happy to provide the info.
I use my tap to water all the time. I did get a report from my water company and had someone read it for me and he told me my water was ok to use. No way was I gonna interpret that chart on my own.
Mine goes through a softener. I have a RO unit for drinking water. In the past I have used the unsoftened water for the orchids with no ill-effects but recently starting mixing RO with unsoftened water 50/50.
I'm a newb, and have no experience with orchids themselves...
...but, it seems to me that an aquarium-water conditioner that removes chlorine and/or chloramines from tap water might be good to use for orchid-watering. Has anyone tried this?
I use "Repti-Safe" in my amphibian tanks, and that removes chlorine and chloramines (and ammonia) from tap water; there are several brands sold for fishtanks that do the same thing.