How can I get access to my own career page and how can I integrate that with our website?

You can access your branded career page under Jobs > Career Website. This branded career page is created by BetterInterviews and displays all your open job positions. You can choose to host the page through BetterInterviews or embed it directly into your marketing website. To do this, go to Settings > Customize Career Website. 

Here you can choose Hosted or Embedded under Site Type. You can customize the text and look and feel of the page and click Save to save changes. To embed the page, you can use the code that displays at the bottom. To link to the hosted page, you can use the Career Site URL that appears on top. Embedded site type is available only on Pro version.