Hi there,
I'd recommend wordpress if you want to be able to edit the content later on. Let me know if you're familiar with it, though it's pretty straightforward to understand how to use it. I'd also recomment using a wordpress theme , I can look for something in the style of the website that you provided , in order to keep it under your current budget and have the features that you want, including responsiveness for mobile devices aswell.
Looking forward for working with you.
Alin