Like most things in life there are extremes in HDMI cables.
An HDMI cable is a pretty technically advanced piece of equipment.
The process of cable manufacture can have a dramatic effect on how the transmitted information looks from one side of the cable to the other. This means that a cable with better shielding and a more precise distance between the "intelligence" and "ground" wires, will yield a better connection with less interference. Many things can effect your signal. The electrons will create a standing wave in the cable, this will create a small magnetic field around the cable. Any imperfection or splice in the cable will disrupt these waves and will reflect/refract the waves. Magnetic information can also leak from one cable to another. This is the reason these are highly refined shielding techniques and the precise distances came to be.
What you do need to work out is whether your setup could be affected by any of this stuff. If you are running short distances the answer is probably no. Still I would not buy the cheapest cable or the dearest.
There is a difference between expensive and budget HDMI cables. It revolves around the quality of the cable build and the materials used. The question is whether this will affect my set up. First you should determine the length between your source and your display. If this is less than 15 feet a "standard" cable will be ok. If it is more than 15 feet you are best to consider a "high speed" cable. Make sure that you buy from a reputable source and that the cable is marked with the HDMI logo and says that it is a version 1.3 (don't worry about a, b or c as these are only testing protocols) If you live in a coastal or high humidity area it is worth considering getting a cable with gold connectors. While this will not improve your signal it will stop corrosion degrading the signal over time.
Some people assume that as the signals are digital either the cable works or not. Sometimes however the 1s and 0s aren't all there because of signal degradation due to inferior cable construction. That can be especially true with audio and video sources such as CDs and DVDs. The signal will degrade gracefully, to a point and then it will break up. Music and video is not like data. Digital signal processors can work with a degraded signal and deliver less than perfect sound and pictures.
You can never improve a digital signal by using an expensive cable but you can certainly degrade a signal using an inferior cable.
If you want to know more about the HDMI interface and HDMI cables you can download the free 21 page ebook "HDMI Demystified" at the following link.
http://www.hdmisystems.com/