Logo Designer

We are looking for a logo designer to help us design a logo for one of our clients. The site that’s under construction is ---------- . The current logo is from the template we used to build the site.
The ask is to produce a number of logos to choose from (3-5) and once a logo is chosen, then make changes to it to fit the taste of the customer. At the end that logo should be produced in different colors and background to be used for both print and website.