Hey Vasek,
While we at MailChimp wouldn’t necessarily be able to help with setting up your WordPress page itself, once you have that up and running there are a couple of routes you could take. The first is to use this WordPress plugin by installing it on your site to add a widget which integrates with your MailChimp account.
Separately, you could try adding a link to your MailChimp account’s hosted signup form to your site (How to add a MailChimp signup form to your WordPress blog: https://eepurl.com/bfeJg) or, if you’re hosting your own WordPress installation you can also try adding the offered embedded code from within your account onto a page of your site and modifying some of the code to avoid CSS conflicts. The Embed form is covered here: How can I add my signup form to my website?: https://eepurl.com/gOGN