I dont have any suggestions for a name but when ya figure out a name and get ready to have a logo designed I would recommend
http://thelogocompany.net/
they designed my logo and a few other contractors that I know.
only $149 and they will revise it as many times as you like until you find something you want.
orginally they give you 5 different designs and you can choose one or have them rework one, or design 5 more totally different.
the turn around on the designs is quick, customer service is top notch.
good luck with the business.
I also recommend reading " Mark-up and Profit" by Micheal Stone.
alot of good info in that book for contractors and will help if your new to the business side of contracting.
I designed my own website using a 1 yr free Microsoft Office acct. after the yrs up you can renew the domain name for about $30 a yr.
http://logantrim.com/default.aspx
my website is nothing fancy but the only reason I have it is to show potential clients pics of previous work.
gives them an idea of the quality they'll get and not some fly-by-night carpenter.