I would personalize one Theme for Wordpress powered with Themify that i bought
1)I would change the current search form and enter another one more powerful and put this in the same position
2)I would change the current top menu and insert another one more powerful in the same position?
3) I would create many position in the header so i will put other widgets or module for example login and contact
4) I would that the theme be fully responsive to most devices
The theme to customize is this https://themify.me/demo/#theme=pinshop