The easiest method and cheapest, is to literally tell people about your new website. Word of mouth is the best form of advertising.
Another great way is via social media. So create a new post saying something like: Hi everyone, please check out my new website. Click the link here: mybusiness.donedave.com or your own domain if you have used that with your Done Dave website.
You can get specialist marketing companies to do this for you but this can be quite expensive, so to start off, it's best to use all free avenues to get the word spreading of your new website.