At least at the retail level, any place that accepts credit cards will also accept debit cards. Using debit cards carries much higher risk than using a credit card, since the money is withdrawn directly from your bank account as soon as the charge is made. With a credit card, you at least have the protection of the credit card company as an intermediary in case there's a disputed charge that you refuse to pay.
I strongly recommend against using a debit card for online purchases.
Here in the US, you can buy prepaid credit cards at many shopping malls and grocery stores. It's probably the safest way of paying, since it's anonymous and a dishonest merchant can't possibly rip you off for any more than the balance left on the card. With a debit card, you can have your bank balance drained dry - with no way to get the money back. That's exactly how the infamous Nigerian 419 scam works - all the crooks need is your account details and then they empty your bank account and disappear.
There are many other payment methods you can set up if you don't have or can't get a credit card and are otherwise stuck using your high-risk debit card - Paypal being the most well known of online payment companies.
I know that Ngroups/Usenet-News accepts a variety of 3rd-party payment methods, including Paypal, E-Gold, and Moneybookers. Other NSPs may be similarly flexible regarding payment method. If not, it never hurts to request it if you have another provider in mind that you want to use. I think a lot of NSPs would offer alternative payment methods if people request it.
But if you are determined that you want to pay using a debit card, it's worth remembering that any newsgroup reseller (like NewsDemon) is going to tend to be a greater credit risk than a true backend provider (like NewsHosting) that has invested millions of dollars in hardware for its server farm, unlike a newsgroup reseller - a "virtual company" which can instantly set up shop with very little investment.
NewsDemon.com is registered by "Domains by Proxy". Personally, I'd be reluctant to open my bank account to a "ghost" company that refuses to even list its address and instead hides behind a proxy. (not that I have anything against proxies, I often use them myself when I intend to break the law - copyright law, that is) At least Newshosting (like virtually all backend providers) has a real address.
Newsdemon is a reseller that gives you access to Highwinds and Newshosting's back-end server farms located in the USA (Arizona, New York, and Virginia) and Amsterdam.
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