How to search a domain name for my business ?

First of all you have to choose and decide about your project, I.E what you are going to sell (or) what services you wish to offer etc. Now you take few Blank sheets of paper and dictionary.

Now you simply write some thing about your project in a few sentences, just make a paragraph. now you cut down unnecessary words to make a short descriptive sentence. take care the paragraph should have all the important aspects of your business.

Now you under line all the key words present in that paragraph. you can check for a single keyword or a combination of two which ever preferred by you.

for eg.
my website is a domain name broker site, i offer free category listing so more domains will collide here to prove their ability, i offer few services like, appraisal, back ordering ETC

from this list you can catch - web domain, domain broker, domain name broker, domain brokers, domain name brokers, name broker, name brokers, website broker, website brokers, web domain, web domains, collision domains, domains collide, domain appraisal, domain back order, domain ability, ability domain, ability domains ETC the list will extend up to 100's of two word phrases

you can check with few seo tools like work tracker, 7search, search123 and overture to find the number of persons who are in search of this keyword.so that it can give you direct navigational type-in traffic, which is very valuable and has a high conversion ratio

If you are interested in short domains only, you can add some common prefix or suffix to your domain name

some common prefixes are

top, new, best, e, i, my, the, online, net, web, your, our ETC

EG top domains, new domains, best domains, e domains, i domains, my domains, the domains, online domains, net domains, web domains, your domains, our domains. You can also try in singular form.

some common suffixes are

shop, store, mall, bazaar, shopee, search, dictionary, directory, links, site, sites, web, web store, storefront, online, guide, guides, corp, inc, llc, business ETC

EG domain shop, domain store, domain mall, domain bazaar, domain shopee, domain search, domain dictionary, domain directory, domain links, domain site, domain sites, domain web, domain web store, domain storefront, domain online, domain guide, domain guides, domain corp, domain inc, domain llc, domain business ETC

Now you have to check the availability of the domain name. If you find unregistered. Register it immediately, If you find already registered then make a search of your desired domain name at the a domain brokers site. you can easily find it. but check with your financial capacity to acquire that domain name, as great domains are generally sold at 7 figures ( Millions of USD) There names are short, sexy and memorable