A 2 1/4 to 2 1/2 HP router is a good first router choice, but get a kit. It will save money in the long run, and give you much more capability and versatility. A good adjustable multi-use fence for it should be your next purchase. The routers, like rabbits, can multiply quickly, once you begin to enjoy all that you can do with them. At last count I have 14 routers in several sizes and brands. Each has things that it can do better than the others, so they get to stay in my woodshop.
I have two DeWalt 618 three base kits as well as a DW 618 two base kit. I bought one three base kit and put it in the truck. Then, when I kept getting it out of the truck to use in the shop, I bought the second for the shop. They both reside in the shop now, because I no longer do woodworking for others and sold the truck. I like using the D Handle bases with both of them when using my Leigh D4R dovetail jig, one for the straight bit and one for the dovetail bit, as once you get them adjusted just right, removing a bit in the middle of the job is a major headache.
The two base kit was bought from a friend at a great price, after he decided that he enjoyed rebuilding old woodworking machines more than he did woodworking. The fixed base and it's router now reside in my Bushton RBI Router Shop router table, but it's a bit too big for the design of this router table, so I may be going back to the 1 HP Black & Decker fixed base for it, which seems to be adequate for it's design and what it can do.. This router table came from Habitat at a price too good to pass up. There are times when tilting the bit to an angle other than 90 degrees to the table has benefits. This table has this ability, but I use it less often than I had originally expected.
Charley