Application for a Trademark as Individual or Company

Hello everybody! I'm looking to apply for a trademark. The trademark should be the name of my website (and my company) and the logo I've been using. I have been running the website for a while, the company was incorporated later. I would like to know how the application works, as in, do I apply for the trademark as an individual, and then maybe perhaps assign it to the company, or do I file the application as the company?