I have just answered your log thread here: http://www.bleepingcomputer.com/forums/t/239269/hijack-this-report-cant-seem-to-get-rid-of-something/
As mentioned there, when a log is posted in the malware removal forums, additional topics like this are closed to prevent confusion and other problems. I will contact a moderator to do so--this thread can be reopened when your malware case is resolved--but I want to answer your question as best as I can.
I would not get rid of AVG because of the problems that you state. For one thing you may not actually be infected by malware but have a more mundane computer problem. Also, I have looked at the Panda and other logs you posted in November. One file Panda found was just a warning--note it was flagged as "suspicious"--and is known to be a legitimate HP file. The other is most likely a false positive and the others are just tracking cookies. It does not make sense to get rid of AVG because it did not show you false detections that worry you needlessly--in fact that would be a reason to keep it. And you are going to get tracking cookies anytime you run a scan if you have done any surfing at all.
I am not very fond of AVG, but it is not because of its detection rate. Even the best antivirus will fail to detect some threats. In today's landscape there are way too many threats out there for detection rates to be 100%. Every AV out there is going to miss some that others pick up, and, conversely, will pick up some that the others miss. In fact, a few years ago, installing AVG was the easiest fix for a certain type of malware--other AV's wouldn't touch it.
There is very little difference in detection rates among the major AV's. If you switch, do it because of feature sets and support and which causes the fewest problems with performance and other such factors and preferences. My favorite now is Antivir but it is not for everyone. It does have a high rate of false positives, so if you don't know what false positives are you shouldn't use it. I like it because it is more configurable and lighter on resources than most other freeware.