For really tiny yards:
1. There's always the push reel mower. No joke.
2. I would consider a new battery mower by Dewalt. Their 20/60v battery system fits dozens of things that you might use around your new house from cordless drills to lights, chainsaws, blowers, hedge trimmers, string trimmers, inflators, power tools, etc. Depending on the condition of house and your skills, you may soon be in the market for a set of battery powered tools.