yeah, why dont you just put some gloves on or something then clean the cage? what would happen if it bit you anyway? haha thats funny that youre scared of your own pet.. i had some fish (i wont mention bc you will laugh) that i was scared to put my hand in the tank to clean it bc of them lol..
post some pics!! even though i hate spiders still want to see it.
send it the mental message that A)you are taking care of it B)that you could squash it like a bug and it will sense that you are not intimdated and leave you alone
and if you get bitten don't worry it only hurts for a short bit till your insides liquify and the critter drinks you like a protein shake muahahahahhahah