My tip this week is for the best and super inexpensive jewelry cleaner. Denture cleaner tablets! You can pick up a box of 100 for around $4. House brand works just as well as name brands too.
Keep a small bowl and old toothbrush handy. Get your rings wet and brush over the surface to loosen the dirt. Put them in the bowl and just cover with water. Pop in 1 tablet and let set several hours or over night.
I used to take mine in for a good cleaning and my jeweler actually taught me this, he said this is what they use a lot of the time. I run the toothbrush over them again before rinsing and they turn out like new!
DO NOT USE THIS ON SILVER JEWELRY AS IT WILL TARNISH THEM.
THIS METHOD IS ONLY GOOD ON GOLD OR PLATINUM!