Finding ultra-pure water locally...

Drubin: Carefully douse , paint, or spray a portion of the LP absorbing the water with a micro cloth. Or, repeatly spraying pure water on a revolving a disc seated on a RCM, then vaccuming the disc to remove the water and any contaminates. Some record steam cleaners report dipping the LP into a shallow bowel of pure water , rotating the disc with a micro cloth in one hand to absorb the water from running over the label. What ever you decide , experiment with a trashed LP to perfect your hand-work.

Drubin, my process for rinsing with a vacuum cleaning machine is to dedicate a cleaning pad (Walker Audio, Disc Doctor or Music Direct) to the final rinse; apply ultra pure water to saturate the pad; apply pad to rotating LP; then vacuum.
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With the record mounted on my Loricraft, I squirt water on it, then turn on the platter and hold a carbon fiber brush to the surface so the water gets distributed as the platter turns. Then vacuum off the water.

Drubin,
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The Axiom everything matters especially applies to cleaning records and the sonic results that are yielded.
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I use a separate brush for each fluid and or rinse that I do. I don't want to cross contaminate from one step to another. Using "Ultra-Pure" water matters dramatically in each step (either as part of the cleaning solution or as a rinse).
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Using a strong vacuuming machine (Loricraft or other) is important in that you need to remove all of the cleaning/ rinse solutions off of the record to take the impurities /dirt/ mold out of the grooves.
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My great preference is the AI solution system as I have mentioned before. Walker's system is quite good as well. The more resolving your system the more you will appreciate the value of good cleaning / rinsing solutions and a great machine.
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Good Luck
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Rgds,
Larry

Hello, to answer your first query, no, ultra pure water, lab-grade water and distilled water are not the same thing.

Lab grade water is a collective term for different types of water used in laboratories, namely type-I, type-II & type-III water.

Ultra Pure Water or Type-I Water is the purest form of water i.e. water without any dissolved components or solvents, it undergoes 4 stages of purification and is used in critical laboratory applications. 

Distilled water is the water that has been treated with the distillation technique, which is the oldest water purification technique.

Moving on to the second question, I guess you could look for a laboratory consumable suppliers. They deal in various lab supplies from chemicals to solvents and might also provide ultrapure water.

I hope my answer was of help, Thanks.