The important thing is that you've discovered cleaning your records.
I wouldn't bother with the wood glue...it's expensive and inefficient when you consider the time and the amount of glue involved.
I'll make my pitch for the Record Doctor V: $199 shipped... Here's the deal in comparing it to Spin-Clean and clones like your current one. The Spin-Clean is only truly clean on the first record. With each subsequent record, the bath gets dirtier and dirtier, until you have to change out the fluid. Records have to manually dry...either by air or with very clean microfiber towels. Air drying allows the record to be recontaminated with airborne dust, and any particles in the successively dirtier bath end up back on the record. Towel drying introduces particles that might be on the towel and smears around any particles that were in the bath.
With the Record Doctor V, you use the paint pad to swirl around/scrub the grooves after applying record cleaning fluid. Once thoroughly coated with fluid, you flip the record over, then apply to the other side. Then turn the unit on and, using the vacuum (and gravity), suck the fluid off the underside of the record (the first side you applied fluid to/scrubbed). Then flip over again and repeat. Because of the small platter size (it's the size of the label), your grooves never touch anything after they've been cleaned. All fluid is sucked off of the record, as are the contaminants. When you're done, you lift a dry, pristine on both sides record off of the unit and are ready to play it.
The fluid that I use is made in my town by a local record enthusiast who's launched his own company.
www.soundsolutionproducts.com I used to make my own, but this works much better and is fairly affordable...I get the 16 oz bottles and they last me for about 100 or so cleanings. The paint pad I picked up at my local big box lumber store. Look for one with a 4" pad... 4 inches is the distance from the label to the record edge.