The server where you bought the domain probably offers hosting services but usually at a cost. If you want to do it for free, have your domain redirected to whatever free web service you decide to use for your website. Remember, free sites are limited in the number of pages and can have a lot of ads. On the other hand, hosting your own website as in Method 2 above, or having your site hosted where you bought and keep the domain, allows you to pretty much create as many pages as you want, without any advertising you don't put up for yourself.
If you're not sure of the type of hosting your business needs, you might want to start small, with shared Web hosting. You can always graduate to a more robust, feature-rich package of, say, VPS hosting or even dedicated hosting in the future. Unfortunately, some hosts don't offer all hosting types. Consider how much you expect to grow your website, and how soon, before you commit to anything longer than a one-year plan. It's worth spending the time up front to make sure that the host you select with is able to provide the growth you envision for your site, as switching web hosting providers midstream is not a trivial undertaking.
Domain names can be used in a number of ways. Direct visitors to your website’s home page or use complementary domains to send them to specific areas of your website ( e.g. yourcompany.jobs for a careers page). Or, forward a custom domain to an existing social media account, like your Twitter profile or Periscope channel. With a domain name you can even set up custom email addresses like firstname.lastname@example.org, which can be used to conduct business or communicate with your followers. More.