How do I accept credit card payments online?

There's a whole bunch of options available. Most MSP's offer a unique take on credit card payments online, each with a range of support, features, and alternative functionalities. Some processors allow Bitcoin payments, some focus on developer functionality, others, simplicity of use.

You're going to want to search for an online "payment gateway" or a "virtual terminal" that has woocommerce integrations.

A payment gateway will simply connect with woocommerce, and a virtual terminal will also connect to woocommerce, but it will provide your business with back end software to take a payment gateway a step further and manage inventory, payment information, recurring payments etc.

I strongly recommend the Virtual Terminal at Helcim, as client support is always standing by to help you with any questions and concerns. Here's a few important features of the terminal and how it's distinctive from a payment gateway.
Automatically emailed receipts, and email invoicing.
Recurring billing
Secure Tokenized Credit Card Vault
Custom payment pages and checkout features
Easy Woocommerce integration
Free bank deposits
and a whole bunch more.

Make sure you search for an integration that is FREQUENTLY updated, especially on Wordpress, look for their support options and the additional features offered.

Best of luck with the eCommerce venture, hope you reach your goals and vision with ease.