Can I surrender my guinea pigs to this shelter?

They accept dogs, cats, and rabbits. It doesn't appear they accept guinea pigs, but I'm sure if you contact them they can provide information on possible options/locations that would accommodate.

I would love too give my 4 cuddling guinea pigs away

Sure if you call the Humane Society they will give you a number for a Guinea Pig Rescue or you can put it online that you have free guinea pigs and you can meet them somewhere so you can just give them away

I know they have taken horses why not something cute and fuzzy