Malware Removal & CPU Spike Management

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Alright so /wsr/ I use a shared family computer and inevitably it has ended up getting a virus due to family not following my instructions.

The operating system is Windows 7 Home Premium 64-bit. Service pack 1.

For a long time I've used "the holy trinity" of Malware Bytes, Spybot S&D, and CCleaner (even though it's not really for malware removal.) to clean up computers due to my reluctance to try new programs.

I noticed my CPU usage was spiking without any telling signs in the process list and my scan turned up an infected Windows Host file.

I quarantined and removed, but upon rebooting and doing a follow-up scan (with and attempt to find rootkits) I turned up the infected file again.

After some furthering reading and a bit of desperation I decided to use Malware Bytes, Microsoft Windows Malicious Software Removal Tool, Hitman Pro for a temporary trial, and I even considered installing Avast opposed to using Microsoft Security Essentials.

After removing the infected host files again I used Your Uninstaller! to remove any torrented software, ran Microsoft "Fix It" tool to replace the host files, and kept searching for methods to follow-up.

I need suggestions on software for malware removal, anti-virus, and anything to check into why my CPU usage spikes without any programs actively running aside from Puush or NvBackend.

Thanks in advance.