Would starting a html5 gaming website be a good source of income for my games
Yes, creating your own HTML5 gaming website is certainly one potentially good way of making some money from your games.
Advantages include having total control over both the games and website, not having to share the income as you typically would with a portal (where you usually get x% of any money made), and not having to share the site with other games unless you choose to do so.
Potential disadvantages are that you'll need to host the site yourself, you'll need to work hard to gain an audience (popular portals already have a massive player-base), and you'll be doing all the work yourself -- any problems with the website will be your job, as well as making and maintaining the games, marketing, implementing monetization, etc.
I would normally suggest a hybrid approach where you host games on your own website and submit to popular portals such as Kongregate. Mobile platforms (iOS, Android) can also be a good potential market, although for more complex games performance can currently be a significant issue -- this will only get better with time however.
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