If you find a website that you like, you can actually add an icon on your iPhone screen beside just bookmarking the website in Safari.
Open Safari and browse to your favourite website. Once there, zoom in to the website’s logo or some pcitures that will remind you of the website. Once you have selected the picture, tab on the Plus + symbol at the bottom of Safari and select “Add to Home Screen”.
Voila! The website icon will now appears alongside with your apps. Have fun!