HELP!!! Possible Malware/Virus!!!!!

[Speedstang]

Ok I'm starting to panic. I was just searching something on google when I randomly got some page saying Google detected unusual traffic or something like that, and it made me solve a captcha thing to continue using Google every time I did a search. Anyways I looked up some info, and I'm becoming really paranoid that I have some sort of Virus or Malware on my computer. This is my soon to be upgraded gaming machine and I cannot afford another one, if I lose this I'm finished. What do I do? I tried using a different browser (It was happening on Chrome) and the issue didn't happen anymore, so I'm guessing it was associated with chrome. I went into the Chrome settings and wiped all the cache, history, even saved passwords, I only left cookies because I have some stuff I don't wanna lose. Anyways, this seemed to solve the problem, but is my PC infected? How can I be sure it's ok? Just please don't ask me to download an antivirus, I hate those things. On some of my past computers, every time I had an antivirus the computer somehow got infected....... I've been running this one for several months with no antivirus and no issues whatsoever, well until now. Anyways, what do I do?

 

[Speedstang]

Yes, that's another way of saying it.

I did, but a lot of files were still left in the HDD, I didn't even know until recently.