Need help taking credit card payments in my website

I’m trying to make a page to accept large amounts ($2000) credit card payments for a selection of spaces users can reserve, payment is required in advanced, so here is what I need.

I have a div or page listing the space sizes and price, when someone makes a selection it takes them to the reservation page wish includes form fields for their name, email, phone, credit card number, terms agreement,  security code, and so on.

After they fill the payment form the credit card payment is accepted or denied and a receipt is displayed and sent by email.

I can manage the list fine, using PHP, but I have no idea of how to set up the rest, meaning I’ve never done anything like that before.

I can go as far as listing the products dynamically from a database, or statically embedded in the page, make the link to the form and store that information in my database, but how do I process the credit card information and verify that the payment was accepted.

For this matter if someone can explain the steps I need to take in detail and the tools I may need, I will appreciated.

Thank you in advanced.