You'll probably want one or more email accounts associated with your new Web site. Examples would be YourName@YourDomainName.com and Info@YourDomainName.com and Reservations@YourDomainName.com
To save effort on setting up your new Web site, you can embed items that you already have on your Houfy listing. When editing your Houfy listing, you can find some items have an "embed" button. When selecting the "embed" button, Houfy will display the HTML necessary to integrate into your Web site.
What is WordPress?
I've used both Hostgator and SiteGround. I don't have personal experience with GoDaddy, but I can say that I haven't heard many good things about them.
Your domain name will be the URL that you use to direct users to learn about your property and to have them book with you. The domain name should be shorter, somewhat unique and easy to share. Preferably, you can create a brand name associated with your property or vacation rental business ensuring these 3 traits.
If you're trying to work away from listing with an OTA (Online Travel Agency) site or you just want a Web presence that you fully control for your vacation rental site, you can easily create your own site.