URL changes

I have an existing wordpress website I am very happy with. I have renamed my company and want the new URL/web address/domain name I've purchased to be added to my existing website. However I also want to old web address to continue to direct to the website with new domain name so that I don't lose any seo that i've accumulated so far. This means that ultimately 2 web addresses will be attached to one website for a short time until I will phase out the old url.
This is short simple job. I would like someone very experienced, good at what they do who does things on time please. I have had this done in the past so know it can be done simply and done well.

UK based freelancers only please.