My two cents on the topic are the following:
The Disc Doctor cleaning fluid is very good, and available in concentrated form that I dilute with distilled water.
The Nitty Gritty cleaning fluid is also very good but more expensive.
The VPI record cleaning fluid is not quite as good on dirty records, but is fine for general maintenance. I last bought some in concentrate form that has to be diluted with distilled water.
Although I have tried various home-brew cleaning fluids I do trust the ones above, and they work. It's not worth the effort in my opinion to try and home-brew something that may or may not work, or may or may not damage my vinyl.
I think that vacuum cleaning records is the most effective way to clean them short of using an ultrasonic method. Hand washing may work, but it is messy and there is no method better for removing moisture from the record surface than an vacuum.
I'm cheap. Chronically short of money yet I love collecting vinyl. Some of the very best titles I have were found at garage sales, and thrift stores. They are often covered in mould, and the most effective me ands of cleaning mouldy records is wet scrubbing followed by vacuum drying.
I made my own VPI style vacuum pickup tube out of a small piece of clear polycarbonate pipe, cut a slit in it with a dremel and applied two dense velvet strips either side of the slit. I fastened this setup to a small shop vac and voilá. I use an old junk turntable with a record clamp as a platform for cleaning activities. I use a stiff bristle brush I bought from a VPI dealer. It's the brush from a VPI 16.5.
Total cost: $30 and I have clean records.
Everyday dust removal I do with a carbon fibre brush and a Nagaoka rolling cleaner (a washable tacky polymer roller that picks up dirt)