Maybe you could use Vocaroo. Is a great online tool that you can use to do voice recordings via your browser, and you can download the file in an mp3 format.
You need an external audio interface. To build-in sound cards in laptops or desktops are not good enough. There are sound cards such as Focusrite Scarlett that will have excellent recording sound.
I have the Audio Technica ATH-M50X and I use it for over 5 years in my studio. I'm very satisfied with its sound quality and durability. It is the best seller pair of studio headphones on Amazon store with some pretty amazing reviews from users.
Beyerdynamic DT 770 PRO is also a very comfortable...