Creating my domain name? Personal or "We Buy Houses"

[Matt Fisher]

I am planning to start a website soon and want people's advice regarding my marketing strategy as it relates to SEO.

I have recently had an eye-catching logo designed that I hope to use on signage and draw customers by brand recognition from my memorable company name.  I also have been considering placing post its on homes that say 'Google "my biz name"' to drive people there and create brand recognition-even if they aren't sellers, they might be and they might be bird-dogs for cash finders fees...  

I believe there are lots of "We Buy Houses" people out there and that that approach is recognizable but stale.  If a seller googles it, they will take the first one that pops up.  They have no brand recognition and little loyalty.  I hope to dominate the "We Buy Houses" in my market with SEO, but I also want my website to be easily found via name recognition.

So...  Here's my question.  Is it better to have a WeBuyHousesLocalMarket.com or is it better to have UniqueBusinessName.com?  

I also welcome any suggestions that will help me dominate SEO for we buy houses and via my business name with only one website.  Or is that not reasonable to expect.

Thanks in advance for helping a relative SEO/Website newb!

Matt