There are loads of places on the internet to look for a job in design.

designjobs.co.uk

creativechoices.co.uk (design)

Design Week jobs

creativepool.co.uk (design jobs)

Creative Arts and Design Jobs at jobs.ac.uk

There are many other design specific sites, and many of the big names like reed.co.uk and moster.co.uk also have sections devoted to the arts and design. There are also many site which specialise in a particular field like web design and development recruitment (e.g. webdesignjobs.co.uk).

There are also many resources for Freelancers, both in terms of getting listed on sites that people go to if they are looking for a freelancer (e.g. peopleperhour), or just general information for freelancers (e.g. freelanceuk).

Best place for further information is to begin by a search on Google or another search engine.

I wish you every success in finding work.