Turn web page screenshots into more basic cartoon illustration style images

Hi there, I'd like to turn screenshots of some pages of my website into general illustration images that look like my system but are graphics instead of actual screenshots so as the system changes are images aren't out of date.

It would be great to understand cost and timeframe to do this if possible?

I am thinking of doing this for 5 - 6 pages of my site

Attached example of the type of graphic style I'm thinking of