Bad idea
@Ken's PC Repair. Reminds me of the time when I thought I wanted/needed to split my company in two. One side for residential and one for business - where I wanted to get out of residential eventually. After a long step back to look at how that would affect my business, it was apparent the financial impact would be devastating.
You already have a presence on the web, you already have a client following - build upon that. Think about how long it took you to get to where you are now versus how long it would take you for another site/business to get where you are NOW. SEO doesn't work overnight, but SEO is only one aspect of it. You've got to present your recovery service, advertise for it, get the word out about it. Do you really want to take the exorbitant amount of time away from your current business model to do that?
Not to mention the cost to split your company, even virtually. Even if it's $100, its a cost - expenditure. I chose to leave my company as is and instead focused my time on a complete overhaul of my advertisement's, flyers, etc. and my website, by putting emphasis on business and drowning out residential within it - to an extent. I know my situation is not the same as yours, but the concept is. You may not take advise or criticism - good or bad - from us here at TN, but to be honest, I in the beginning didn't either. But taking time to think about how much time it would take to basically start a new company, the cost involved to do that versus the same cost to invest into my existing business to better it, I was better off with one company. I had many members here giving advise and opinions, with out them, I honestly would have been in the negative if I went ahead with my plan.