Hello Berni,
Welcome to eUKhost Community
Well I don't think that you would need any thing to be changed ig you are moving to eUKhost. As all search engines cache and rank the web site hosting URLs and not the IP address. Your rank should be be affected unless all the pages of your web site hosting is accessible.
I may not be the best person to comment on this but just trying to help. You will for sure get some additional comments from Search Engine Optimization expersts, our sales Team.