I feel you need a good vacuum style cleaner. I use the $199 Record Doctor.
The Record Doctor V Record Cleaning Machine is a manual record cleaner with a powerful high-performance vaccum motor that will signifcantly improve sound quality and extend the life of your LPs safely at a very low price
www.audioadvisor.com
But VPI's are the best in the next price bracket. I will upgrade to a HW16.5 one day.
For scuzzier or beater records I scrub with Mofi pads first, them put them on the machine for a several vacuum cycles.
Amazon product ASIN B000M9H03E
Let dry in a dish rack
I'm happy with the Chisto cleaner many here have recommended.
For record cleaning machines. For all types of records from LPs to ancient 78 RPM shellacs. Quick and convenient way to keep your records at its best.
highend-electronics.com