I have about three pump dispensers of Dial Antibacterial Hand Soap in my house, and when they need refilling, I purchase the 50 fl oz refills for them.
Dial is the #1 doctor recommended antibacterial soap, and I trust it to get my hands clean and sanitary. The refills are great to take care of keeping any pump dispensers I have always filled, so that whenever I need to use hand soap it is always there. I wash my hands often, and so far Dial has never dried out my skin or caused any kind of irritation. I guess that's because the refills I have been using also have moisturizer in them, so my hands do not get dried out from using this soap.
I would recommend Dial Antibacterial Hand Soap, and the refills are great if you have one or more pump dispensers you want to keep filled by your sinks.