There was one (I thought) live cricket left in Bunny's keeper (that's where I keep them), so I caught it and put it into Anansi's container before putting her back into it. She hasn't eaten it yet.
Then I transferred the AHS into a smaller / extra jar. I washed it's jar out with warm water; MUCH better. I also put a little bit of water in the bottom. It seems rather lost without it's web, just pawing at the wall a lot like it did when I first caught it.
I found one more cricket in Bunny's cage, so I transferred it and bunny into separate jars. I washed his cage out in the same fashion, as well as the water dish and the plastic spider. I've tossed the sponge altogether. I can actually SEE whether there is water since I'm just using the lid. And even the smallest crickets I get can make it out of the water. The lid I use really makes for a cool water dish. Shortly after I put him back into the keeper, I actually saw him getting a drink. Cool!
Since the AHS still seemed to be freaking out a bit, I decided not to give the extra cricket to it. I was also tempted to trade it out with the one Anansi has, as it is slightly larger than her's. In the end, I just put the extra, larger cricket back into Bunny's keeper.
Now all the containers are all nice and clean. The spiders are all watered. Yay.