Before you consider a website, here is some information that may help.
Firstly, what is a domain name, well it is the web address, so when you search Google, google.com.au is the domain name, well actually google is and .com.au are domain extensions, but for the sake of simplicity I will generalise. You can buy these to suit your business, like mine is www.webdesignbycraig.com. Owning your own domain is critical for the long term success of your online marketing, which is why every single large business owns one, and they normally cost about $20 or so to buy and the same again each year to renew.
So really you have no reason not to considering your own domain name is the single most important online asset you have.
Are there alternatives?
On the web you will see lots of web companies offer free space, which makes your web address look like www.yourbusines.theirname.com which saves you money now, but over time you will spend thousands of dollars on marketing, just to market their domain name, only to realise at some point you have to leave and get your own name, and presto, you lose all that branding and search engine placement, only to start at the bottom again. This is a bad idea and will hurt you long term.
It is a little-known fact that Google and other search engines rank your site with the age of your domain name being an important factor. Each time you change your web address, you start again.
You should buy your domain www.yourbusiness.com.au as soon as possible and even if you do not build a great website immediately, get the domain live with a single page so Google knows about it and your page will start building page rank points.
Lastly your email account, did you know that some servers blacklist Gmail addresses and Hotmail etc., and many suppliers wont accept payments from these email addresses as they are used by scammers.
With your own server space you can set your account to infinite size so you don’t have to log in and delete emails to keep Gmail happy and you can back them up to your PC.
There are many reasons to do this and few not to.