The Zuztpick.com domain name was only registered on 22 June this year. That, in itself, would worry me. (New traders have to start out somewhere but I'd rather deal with a well-established firm than an unknown new one). It was registered by an 'individual', rather than by a 'company', allowing them to opt to have their contact details hidden on their registration listing. That, again, is worrying; legitimate businesses don't need to hide their contact details.
There's no postal address given anywhere on the site. That's also worrying. Firms trading in the UK are required to show an address for returns and legitimate firms anywhere in the world generally state their postal address within their terms and conditions as well.
A remarkably similar domain name, Zustpick.com, was registered three years earlier. As the type of products mentioned on their TrustPilot reviews seem to be exactly the same sort of thing that Zuztpick.com is now offering, I think it's unlikely to be a coincidence. Those TrustPilot reviews are appalling:
https://uk.trustpilot.com/review/zustpick.com
Most worrying of all though is that the phone number given (using a New York dialling code) appears to be fake. I've just tried it. It comes back as "the call could not be completed as dialled", which is the US equivalent of "unobtainable").
Scam! Scam! Scam!
Sorry :(