Research on Search
Webb – You need the textfield and a button (magnifying glass or submit text) for good interaction.
Mobile – You don´t need the textfield, use only icon.
Best location on webb – Place it in the upper-right corner.
Use a large and clean icon with good contrast for submitting the search.
Don´t crowed the surrounding area with other icons that might distract from it.
Give search the priority it deserves
Make it prioritized, visible and smooth!