The better soldering irons will have a variety of different tips available, which can easily be swapped..
I generally use a spade tip (Weller PTCC7), and this covers most of what I do. For some fine PCB work I have a smaller spade tip and a pointy tip.
25W would be the minimum I would recommend, especially if you are soldering to the back of pots.
One general misconception is that too powerful an iron is dangerous to the work piece. In fact, the opposite is true; an under powered iron is more likely to damage the work than a more powerful iron.
A 50W iron will not get any hotter than a 25W iron, but is able to deliver heat more quickly to the solder joint.
To get a good solder joint, you need to heat the work to temperature where the solder will melt onto it, ie the work needs to be heated to a temperature greater than the melting point of the solder (which is one of the reasons leaded solder is easier to work with).
You need to heat the work as quickly as possible to minimize the total heat being conducted from the solder joint into the work. An underpowered iron will take longer to heat the work, and thus potentially can cause harm to components in what you are soldering.
Re temperature, I use 370degC for virtually all soldering work, except when confronted with the higher temp lead free solder when I use 425degC.