If you wish to change the style of counter image you are using, your count WILL remain accurate.
The only thing you need to change is the program that is being called.
If your code currently looks like this:
<img src=http://www.rapidaxcess.com/cgi-bin/counter/nph-count1?123456>
Just change it to:
<img src=http://www.rapidaxcess.com/cgi-bin/counter/nph-count2?123456>
This will change the style from this:
TO THIS