I checked the bubbling water 24 hrs later it was still at 240 tds.
Does Total Dissolved Salts mean the same as Parts Per Million?
In not so many words, Yes.
Will I be able to use this water that I have been bubbling for over 24 hrs without my plants getting hurt from eating tap water chlorine?
Depending on strata quantity and bacterial content. Yes.
A lot of people are talking about "DAMN CHLORAMINE" at 240 ppm there is not much to worry about if you contaminate your water with dirt or AACT a day or so before using it.The more contaminated you make the water the more Chloramine becomes "diluted" or unstable and become inert.
If you fill up your containers exposed to UV for a few days 'DAMN CHLORAMINE' at 240 will become unstable and will become inert.
Even still, treated water for sanitization is not a sanitizer in of itself.
does the bottled/distiled water still have all those yummy nutrients in it? or would rain water be better
Pretty much all water other than tap is
excellent. Especially water from springs. It may be high in TDS or "PPM" but its not apples to oranges when there is defined inorganic pollution in the water. Organic total dissolved solids has more of a "buffer" than say nitrate salts which can lock out nutrient. With well water/spring water or even better rain water you also have a more neutral PH. Which is created by the PPM, but also a sum of all its parts.
Chloramine is diluted bleach. Water suppliers and wastewater treatment plants are decommissioning chlorine liquid or gas dosing because of the about of liability gaseous chlorine handing creates. Leaks; IE green clouds of death are a bit frightening in the public eye. Hypochlorite or "super bleach" is a much safer and more manageable option.
Word of caution when dealing with HARD water. Like high sulphur or calcium. The stuff that makes your pipes rusted..Use an RO filter. Mind your water softeners.
As always have your water tested or ask the local water supplier for a test result. Lots are post on the web. BUT when the water factory adds chemical to the supply the PPM spikes and then comes down; to their "random" test result. You can usually take a shower and tell if the water is a bit "bleachy or chlorinated." You could kindly ask the water supplier when they dose the water, and then wait 48 hours between to get the low test result water.
I myself have tested my water and know for a fact I have Chloramine in the water. Where I live surface water is used municipally from the Sacramento and other rivers.Treated with Chloramine. My AACT and soil is fine. I will be installing an inline RO filter on the hose to my garden for peace of mind. The shear quantity of water i will need in later summer will out supply the water containers i have to dilute any Chloramine in the water.
Good luck!