Hello,
my name is Liliana, i have 10 years of experience as a designer, and what i like most is to illustrate, that's why i like this project.
Please, check my Freelancer portfolio to see some of the icons i made with different styles and subjects, in order to evaluate my work. I can send you more samples, if you need it.
I use Illustrator for this kind of projects, i can deliver you the originals as vector format, and also saved as any other format you may need, like JPG, or transparent PNG, for example.
I found this project really enjoyable and interesting, and i would like to create the icons that you need on the same style of the linked image, clear icons that match with your web, as you described. I can also make the 15 free sample vectors.
I hope that we can work together, please, contact me if you have any questions, or if you want to see some more of my work.
Best regards.
Lili.