These three phrases have similar meanings. The third phrase, about the Israelites, is being compared to how the servants and maids look to their masters and mistresses for help. In each case "eyes" refers to the whole person. (See: [[rc://en/ta/man/jit/figs-parallelism]] and [[rc://en/ta/man/jit/figs-synecdoche]])
Here "hand" refers to the provision for needs. Alternate translation: "master's provision ... provision of her mistress" (See: [[rc://en/ta/man/jit/figs-metonymy]])
The abstract noun "mercy" can be stated as an action. Alternate translation: "act mercifully toward us" (See: [[rc://en/ta/man/jit/figs-abstractnouns]])