Nag aallergy yung kamay ko sa detergent. Anu ang pwedeng ipang first aid?

You need to change detergent, something mild. You can also use gloves like what Jared mention. Meanwhile, you can make an "oatmeal bath" for your itchy hands. http://naturesnurtureblog.com/soothing-bath-for-eczema-and-itchy-skin/

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I think the best way to deal with this is change brands. But if you have no option, use gloves to protect your hands. As for meds, topical antihistamines may work.