Hand-washing laundry in the sink or bathtub (or a bucket) is doable, at least for smaller things. I would not recommend it for things like bed sheets, they are too big and the water won't be hot enough. Get a pair of plastic or rubber gloves, your ordinary detergent (or wool-safe detergent for wool and silk), hot tap water and knead/swish around each item. Then empty the water, fill with new water and repeat without detergent a few times until the bubbles are gone. Squeeze and hang to dry over something the water can drip on (bathtub for example) or outdoors.