Any VPN can keep track, wether they do or not is another question and comes down to trust in that provider. You are basically routing your information through someone else's computer network. That's all the internet is really, other people's computers/servers/networks and that's how you should view it to remain safe.
An idea of why you are looking to use one would be helpful is providing you with a better / alternative solution.
For example if you are just browing have you ever thought of using the TOR Browser? It was originally created by the US as a mean of allowing those abroad a method to circumvent cencorship and provide anonymity.
Yes, it is also the gateway to accessing the "Dark Web" as it's capable of hosting web sites within it's network, but that was not it's primary purpose or usage. It's used by many foreign journalists and even western journalists for research purposes.