If you don't have anything else to clean cases with an old bucket with hot soapy water (dawn .. whatever dishwashing soap you use works). Dump them in to soak. Swish them around every now and then. I used to leave them in for two or three days. Swish around some more after soaking, dump out sopay water, rinse with clean water then air dry outside (if it''s warm) or inside on an old bath towel. I did this for quite a while until I bought my tumbler. Works better than nothing, gets the grit out to protect your dies. Cost, cheap bucket $.99 at the dollar store , dishwashing soap is a couple bucks a bottle.
I bought Frankford tumbler from Midway, inexpensive as far as they go and my has ran 8 hours on weekend for about 2 years with no problems.
Walnut cleans better, corncob polishes better. Nice but not necessary.
PS: AS other said you die looks ok. You want to move the pin down and retighten the nut, but not so tight the pin won't slide up if something goes wrong.
Just tighten it a bit, try depriming a case, if it moves loosen the nut move it back down and make it a little tighter next time, repeat until it does not move.
(takes longe to say this than to do it)
If you do mess up the pin Lee will send you a new one. I just orderd a spare to have on hand when I placed an order from something else at Midway.
You can go to Lee's site and look at dies, parts, to get the part number. I think all the pistol decap pins might be the same, rifle dies have the expander on the pin so they are different.
I think I paid about $4 for one. Nice to have a spare on hand.
Be safe and enjoy.