It is a must that you use your main keywords for your business name and www.name.. For example, since your business will most likely be local service then I would call it something like your city wedding photography i.e. Miami wedding photography, Orlando wedding photography ect.. ?the keywords is the most important thing for getting your message across and ranking high on the search engines... ?to get high rankings on search engines you need to have your main keywords in your domain name as well i.e. www.orlandoweddingphotography.com, www.miamiweddingphotography.com.. if the name of your city is taken then improvise by adding your initials before the name of the city or the words, best, top, etc... if you re going to be a one man business then set yourself up as a sole proprietorship, register your business name with your department of corporations in your state.. then go to godaddy.com, or any domain name and hosting provider and get your domain name and hosting account set up... then build your site with a simple web site building program such as Microsoft Expression Web.. then get some good website design ideas from templatemonster.com.. then learn search engine optimization and use it wisely...submit your site and start advertising and marketing online, locally and every way possible... hope this helps...
Use you own name!!!!!