Speaking of crickets, if you can't get rid of them, you can use them to tell the temperature. If you count the number of chirps in 15 seconds and add 40, you get the temperature in degrees Fahrenheit. Of course, this implies that if the temperatures dips below 40ºF, the crickets will not chirp and you're on your own as far as telling the temp.
As for pet spiders, when I was a kid, I used to watch a family of spiders on my window sill. I would watch them catch flies and make nests. It facinated me to see the little ones hatch and fill the web until they went their merry way. I don't think I ever named them.
Also, in NW Florida where I grew up, those large garden spiders spun their nests between trees. We used to ride our motorcycles in the woods and it was quite a surprise to have one plant right in your face as you came around a corner and didn't see it. Imagine jumping off of a traveling motorcycle while ripping your helmet off and shrieking like a little school girl.