The quick and dirty way is to setup a Paypal account and create a payment page that you can (sort of) customize and link to from your site. The problem with that approach is that it will not look/feel exactly like the site you're building, the purchase pages are not in the same domain (e.g., www.yoursite.com), and the PayPal process requires that purchasers use paypal for purchasing in some cases which will turn people off.
Check out this e-commerce site and try to buy something:
http://www.kalaharitea.com
You'll notice that the cart and checkout pages look exactly like the main site and the process is quite seamless.
To get that effect, you'll need to buy and implement a shopping cart or e-commerce platform and connect it to a payment processor (e.g., Authorize). I wouldn't try to build one at this point in the development of the web, as there are many packages out there than can handle payments.
If you need recommendations of e-commerce platforms, don't hesitate to contact me.
I was asked to put together a website where clients can login and make payments. Are there any Third Party Processors (Paypal, CCNOw, WorldPay, etc...) which provide that feature?
Either way, what do you suggest is the best method for me to create a website where clients login and make payments? Thanks in advance.

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