Unfortunately my jumper died of old age this morning. What's the best way to clean up the webs?

My sweet old lady passed at some point last night. I will kiss her. In due time, I would like to get another jumper, but figured they probably wouldn't be huge fans of all the web my previous spood left behind. Any tips for getting the matrix of anchor web points cleaned out of my enclosure? I haven't done anything yet because I am at work, but I would imagine just giving it a good scrub isn't going to do the trick.