Does it work like cryptocurrency tumblers?
Not exactly, payrobot.io has two approaches:
1) Payment forwarding
This is like a cryptocurrency tumbler, you send coins to one address and receive it in other. BUT, this is intended for payment tracking via API and Callbacks, example:
Tom opens a Bitcoin platform and wants to accept payments easily, he doesn't want to use BitPay, Coinbase, or Full Node etc because of (any reason: hard implementation, privacy, sign-up, high rates, etc). So with payrobot.io generates one-time addresses to give to his clients and receive payments. Payrobot notifies his platform with url callbacks the status of payments so he can manage them automatically. Furthermore funds are sent immediately to his personal coin address as soon as payment is confirmed.
It is a nice thing that you respond to questions, now that I can a clear picture of your project, here is another question for you:
Wouldn't your project be a hotbed for illicit transactions? The anonymity surely will attract people from all walks of life, and I think that the creator has a degree of responsibility when a transaction for illegal has been done on his site.
Do you have any sort of audit trail that can only be given to authorities when the time comes? I know that this defeats the purpose of anonymity but I believe that letting illegal activities become prolific side by side with cryptocurrency innovation will result in a pyrrhic victory. Will your site participate with authorities for investigation when it is needed?