I've read many posts here where VPNs are constantly mentioned, and it's said that using a VPN is not secure at all for remaining anonymous on the internet.
Alternatives exist, but it seems to me that you have to be an ultra computer nerd who sits in a cave 24/7 doing nothing but coding your internet connections in a perpetual state of paranoia to stay anonymous.
Is there really no simple way to do it, one that is easy to explain?
First of all, VPN design goal was not to provide anonymity and privacy but to enable communication for scattered resources in virtual LAN through single gateway - remote offices, printers, projectors etc. Confidentiality thru encryption was not a part of that design.
For VPN to operate, it needs to know your source and destination URI.
Today's commercial VPN services are functioning as overlay network that masquerades your source address with its gateways's so that your destination is deceived.
To define logging we need to agree what data are being stored. Recording and storing traffic requires storage resources. It's highly not likely that VPN providers are performing that kind of universal and non discriminatory storing. Focused ones, perhaps, particularly when requested by public authorities. But, storing source and destination address with associated data, whether they state a no logs policy or not, they simply, by a nature of the system, have the access to those data.
Networking is all about hops. In order to locate you an adversary needs to execute traceroute. Hops are there to protect your location.
There comes a TOR and I2P as mixer networks with several hops.
I already wrote about that
Post in thread 'Is TOR Still Anonymous? and How Were People Caught Using TOR?'
Is TOR Still Anonymous? and How Were People Caught Using TOR?
No, it's not complicated to achieve network privacy, anonymity and security across full spectrum. But, yes, there are no readily available solutions for OP's idea whatever the marketing. We may offer a solution - both hardware and software - to that in time to come.