My advice is to stick with Kaspersky and uninstall Avast. I disagree with Yano's advice. Running more than one resident anitvirus , whether you have only one configured for real time protection or not, is detrimental to your security. And most poeple don't know how to configure that anyway.
To get a second opinion, run some free online scans after running your resident AV. Although I have to say I've quit doing that myself since installing KAV. Very little gets past it, including scam emails.
Here is a short list of free scanners--there are others:
eTrust Antivirus Web ScannerTrendMicro's HouseCallPanda ActiveScanBitDefenderEdit: BTW, I'm moving this to the security forum.