Leave it as it is. Incrementing your visits makes it look like you have more visitors. That's what counters are about isn't it? Overexagerating your visitor count?
Don't visit your own site and you won't affect the count. Simple as that.
Use a browser that allows you to set a manual useragent and set it to something that you set the scripts to recognize and ignore counting any hits with said useragent. If such a browser does not exist, make it yourself.
Ignore my (mostly) jokes and use the cookies or IP methods.