www.vuze.com/ is a safe website. It has a 5 star rating from CNET which tests and assesses software and hardware.
Here is CNETs report on Vuze:
http://download.cnet.com/Vuze/3000-2196_4-10295479.html
If you downloaded Vuze from www.vuze.com/, you did not get a virus from that site.
You are open to viruses since you seem to only use Free antivirus programs.
Free antivirus programs:
Many Free antivirus programs are good but not the best protection. They only allow one signature file update every 24 hours and these signature files are untested. They do NOT give you any technical support. Always update your antivirus program everyday and every so often run it manually to do a FULL SCAN.
You are correct about most Trial versions of antivirus programs but Free antivirus programs are just marginally better than the Trial ones.
If you have a legal version of Windows XP, Vista, or 7 installed on your computer, an exception to Free antivirus software using untested signature files and limited updates is Microsoft Security Essentials which is completely free to download , use, and update.
Your PC must run genuine Windows to install Microsoft Security Essentials. Internet access fees may apply while downloading.
Minimum system requirements for running Microsoft Security Essentials
Microsoft Security Essentials is free* and easy to download. Here's what you need to run it:
Operating System: Windows XP Service Pack 3 (SP3)*; Windows Vista (Service Pack 1, or Service Pack 2)*; Windows 7*
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For Windows XP, a PC with a CPU clock speed of 500 MHz or higher, and 256 MB RAM or higher.
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For Windows Vista and Windows 7, a PC with a CPU clock speed of 1.0 GHz or higher, and 1 GB RAM or higher.
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VGA display of 800 × 600 or higher.
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200 MB of available hard disk space.
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An Internet connection is required for installation and to download the latest virus and spyware definitions for Microsoft Security Essentials.
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Internet Browser:
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Windows Internet Explorer 6.0 or later.
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Mozilla Firefox 2.0 or later.
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Microsoft Security Essentials also supports Windows XP Mode in Windows 7. For more information see the system requirements for Windows XP Mode in Windows 7.
CAUTION:
Remember, you MUST uninstall completely any previously installed antivirus program from you computer bewfore installing another antivirus program. Go to the website of you antivirus software and download the proper removal tool.
Link to Microsoft Security Essentials:
http://windows.microsoft.com/en-US/windows/products/security-essentials
If you do uninstall Malwarebytes, read the information in the following link (Take note of what "Forum Deity" has written - very good step by step procedure):
http://forums.malwarebytes.org/index.php?showtopic=60069
There is a link to Malwarebytes removal tool (mbam-clean.exe) in the explanations