Great news!
You can start looking for ways to secure the cage and vivs. Avoid handling snakes, then piggies and vice versa. Assuming your snakes are fed dead mice so hopefully they won't be too bothered. Just ensure no one gets out of the cage...
One of my cats is a hunter and when I had my gerbils in different set up I used to use the spiral key chain to remind me to lock them properly. I one end was fixed to the table and other end to the cage lid. When I needed to open the cage I attached it to my jeans/belt etc and when I was finished I clipped it back to the cage lid. This way I knew I've double checked it was securely closed as I couldn't open the cage without clipping it onto my jeans and couldn't move away without unclipping it and clipping it back to the cage... it sounds crazy, but I have friends who lost their pets due to momentary memory lapse/stressful situation when they forgot to secure cage etc... no matter how secure your cage is if you don't lock it it's useless... my cat doesn't bother my animals, however it would be different story if he found mouse-like rodent on the floor...Now I have different set up so don't stress anymore.