The walk to the Falls from Vic Falls hotel is less than a Kilometer and takes 10 minutes along a private path. Try this link it gives information on this exact walk.
The hotel is also close to town, everything within 15 minutes walk, only thing is the heat and you might prefer to take a taxi. The tram also operates now from just outside Vic Falls hotel and that runs down to the Falls entrance gate and onto the Victoria falls bridge, nice run but costs $25 return or $15 one way.
April is at the end of the rainy season, but there still a chance of the old thunderstorm. It is still hot during the day and warm in the evenings. Only really starts cooling down in late May. The Falls themselves are very full at this time of year as it is peak flow period.