If you have no issues buying a burner (cost) or storing it (space), then even for a partial boil it would be a good idea, especially if your hobby is causing issues with the wife. I want to lady in my life to be happy with my hobbies, so if a burner makes sense, then do it.
Secondly, if/when you move to full boils, you really will want a burner. I can't use one at my apartment, and getting 6 1/2 g of wort up to boiling is a pain on an old electric stove. I use a propane burner when brewing with my friends and family (got the father in law into brewing).
For the propane burner, depending on where you set it up I would suggest having a heavy canvas tarp (fire resistant) under the burner. In case of a boil over, only a tarp to clean, not a deck or the like. If it is a driveway or sacrificial garage floor, then don't worry.