Unfortunately the big problem with tap water isn't the chlorine, it's all the other junk in the water measured as Total Dissolved Solids (TDS). These are things like metals, phosphates, nitrates and who knows what else. It can cause diatom/nuisance algae problems. Not worth the convenience.
Many grocery stores will sell RODI water, however if you do this, buy a TDS meter, they're cheap online. You cannot trust how often they change the filters. For example my tap water is 300ppm, the "RODI" the stores sell is 150+, and the rodi that comes out of my unit is 0-5.
I do believe there are RODI units that can be connected to taps, unless you can get permission to install a proper unit, which splices into existing water lines. I did this myself in about 15 minutes with basic tools.
If you can't do that, unfortunately your best bet is probably buying RODI from your fish store, but again, check it with a meter to be sure. Mix your own salt, it's way cheaper than buying it, and you have finer control over the salinity and know exactly what's in the salt mix for the micronutrients/minerals. It's as easy as a 5 gallon bucket, a stick and a spare heater. If you want to be fancy, drop a powerhead in instead of mixing with a stick.