I have red bumps on my both handas nd wrist and now it is spreading my other hand. they are not itchy, different sizes. don't think allergic reaction?

Hand rash: Diagnosing a rash without a picture is very difficult, and what you're describing can be many things. We think in broad categories - like an allergic reaction to something you might have come in contact with (sometimes hard to remember exact thing), a mild eczematous reaction (even if it doesn't itch), a fungal infection, bug bites. Let your doc know if it's getting worse!