Replacement of a church noticeboard is unlikely to require a faculty application as long as the materials, size and design are either a purely like-for-like with the old noticeboard or in line with the diocesan "standard" of white lettering on a dark blue (Pantone 2747) background.
Where you are changing the design (including moving to the diocesan "standard") - and particularly where you are increasing the size of a noticeboard - you should consult your local planning department. Some local authorities class church noticeboards as advertisements subject to particular regulations. You will need to provide a copy of their comments with any faculty application.
You will need to apply for a faculty for any new noticeboard or for moving a noticeboard.
The Diocese does not maintain lists of approved contractors but one firm which has installed noticeboards to many churches, and whose website you may find helpful, is The Church Noticeboard Company. This company also produces such signs as "One Church. One Lord. Jesus Christ. Worship Him Here." and other Christian Unity signs, examples here.
Detailed advice: available from the Churchcare website. This includes some practical pointers on noticeboard design.