Go for H+ and OH-. If not for other reasons, concentration of H2O is in most cases constant, while concentrations of its dissociation products vary greatly - and as they are involved in all water related electrode reactions, they can greatly change the potential at which the reaction takes place (think Nernst equation).
In the Ni2+/H+ case it all depends on the solution pH. The higher the pH, the lower the H+ reduction potential. At some point it gets lower that the reduction potential for Ni2+. To make things worse, at high pH you can expect hydroxide precipitation. For exact prediction of what would happen you need to consult Pourbaix diagram. If the question you mention didn't specify pH, it is impossible to answer - unless what the question really means is "what are the products you expect in the context of what you have been told when we discussed some simplified model of electrolysis".