A wireless computer is capable of all the functions of any wired computer and often more, since any currently sold higher end computer will have wireless as a feature.
A wired computer is capable of most of the same functions. The principle difference is the need to run wiring around your bike. This is a minor issue if you only have a front wheel speed sensor, but if you add cadence, or also use a generator hub, then the wiring paths will be quite busy, and difficult to make "clean" in appearance on your pretty new bike.
I generally recommend a wireless computer. A quality brand will be very simple to set up. They basically require zip tying the sensors in place, ensuring that the magnet which trips the sensor circuit is in the right place in relation to the sensor, and spinning the wheel to pair the unit.
Every brand has slightly different pairing instructions, and the more feature filled and pricey the unit is, the more necessary it is to follow the directions step by step. Radio interference is an issue that some early units had, but that has long since been dealt with, by encrypting the radio signal, and only recognizing data from the correct encryption and frequency.
Another advantage of the wireless computer is that if you have more than one bike you only need a couple of extra sensors and the wireless computer can easily be swapped from one bike to another. The Garmin 500 (and probably others) allow 3 different bikes to be setup on the one trip computer.
In short, do the wireless. They are just as reliable, just as easy or easier to set up, and look better on the bike.