Fire Extinguisher Selection for Multiple Use
This is a layman's view, but with some logic behind it as well as experience. 

Choose an extinguisher for the major threat first. A second extinguisher might be nice to have but as residual smouldering of things like wood is probably the most likely secondary threat, a ready supply of water should be sufficient backup. If you've still got a fire after using an extinguisher, you should be well on the way out of the door by that point. 

The experience I mentioned: we had a small electrical fire, by the time we got the CO2 on it there was paper/card burning nicely and a wooden bench getting going. Once the fire was out and the power off it became obvious that the bench wasn't completely out. CO2 isn't much use on smouldering wood but less than a litre of water dealt with that. For liquid fuels this may not translate directly, but then it's even more important to keep your exit clear and/or use the extinguisher to help you get out, as the spread may not be what you expect.