What to look for when picking a router?
More routers is always better! But here are things that I would look for when buying a single general-purpose router:


Adjustable speed. Large bits have a larger diameter and thus higher linear speed at the cutting edge, so you want to use a slower RPM to compensate. An adjustable-speed router will be useful in a wider range of applications.
Multiple base options. I have a fixed base mounted upside down in a homemade router table, and a plunge base for freehand routing. They came together in a kit, if I recall. Having at least two bases lets you leave one mounted.
1/4" and 1/2" collets.
Soft-starting motor. This isn't super important and I think a lot of current models have it. Instant-on routers always startle me and jump a little when you turn them on.


I wouldn't worry too much about the horsepower. Stay away from the small "palm routers" if you're looking for something general purpose, but otherwise there's no need (in my mind) to get a monster. 1.5 hp or so should be suitable for general purpose work. Bigger models will let you remove more stock quickly, but unless you're in a commercial setting with a sturdy table I doubt you'll want to push the limits of a large model.