When you mention that you like designing images.
Do you mean that your adding a lot of gradients, shadows, effects and heavily editing multi-layered raster images? (Tweaking levels, creating grayscale images, etc)
Or are you just drawing shapes and adding occasional stock images, etc?
As Leabon mentioned, Sketch (https://www.sketchapp.com/) does an amazing job when it comes to web design.
What makes Sketch great is that your limited in what you can do, and that might sound a bit crazy but what it means is that it's fairly straight forward to translate a Sketch design to an actual website.
Here's what I mean.
I've worked with many media agencies where designers have gone absolutely nuts in Photoshop.
You'll get massive Photoshop files with countless layers that are both linked and effected (multiply, darken, lighten, etc), burst gradients, really fancy typography, the works. Everything that works great in print, no so much on the web.
Because of the way Sketch limits you. Your forced to work within certain confines. The files are normally easier to reason with, easier to work with, require fewer resources, and it's cheaper.
Download both trials and see what works.