Hey Mr.goodcat, first off, Welcome to AGO! your in the right place
Now as far as the business name "DR.Detail", in my opinion it does not really tell the customer what you can do for them and also is a bit un original. I did the liberty of checking the domain name as well and it seems DrDetail.com and .net are taken.
to give you an idea let me share with you how i came up with "VIP Reflections"... I thought about how a customer wants to be treated, Hence VIP. when people hear it they say, "im a VIP". and What do customers want to see from my services? There reflection in their shiny paint. So maybe name your business according to what you can offer the customer and the "TYPE" of customer you are trying to reach.
Business card and fliers are a good start. You can create a craigslist add.the #1 way though in my opinion, word of mouth. Talk to people... Friends, co-workers or fam.. this should be ideal for you to sell yourself in person since you do not want to spend too much $ in marketing and your going part time to start...
i will give you a secret that worked for me.
Target= Women. I created a pretty flier with girly colors and bold lettering to place in a local beauty salan . The fliers said, You look amazing! but what about your car?? its time to give your baby the attention she deserves! on the reverse side i have my biz name, #, full service detail packages with an incentive for each one. a $20 gift certificate to the very hair Salan she is in when she gets a full service package. so say they want to come back to get their nails done, something clicks in their pretty little heads...
here is a thread i found useful
http://www.autogeekonline.net/forum...ps-starting-part-time-detailing-business.html
a few months ago i was in the same place you were, and the search engine on this site was my best friend. i did sooooooo much research. I am also part time working from home and soon to go mobile. so send me a pm and keep in touch, we'll talk business and help each other out.
-Frank