If you want to share your information with relatives in a format of your choice, then your own domain will allow you most control over what to publish and how to present it. There are a wide range of options for creating this and controlling access to it, depending on the facilities in any software you're using to record your family tree and your own confidence with the various technologies involved. If you give us a little more information about that, we can make more specific suggestions.
One advantage of using your own domain is that it makes it (a little) harder for others to copy your work without permission — depending on how you set it up, they may actually have to go to the trouble of re-entering all your data rather than copying it with a couple of mouse clicks. (Of course, this may not matter to you.)
If the software you use has a user group, you may find that there's a gallery of members' websites that will give you ideas about what you can achieve.
You say you don't see the need for "matches" at present, but I will say that I've made a number of contacts with unknown cousins using my own domain; many researchers include as a matter of course Googling (or the equivalent) for persons of interest.
Use of the free facilities at Ancestry would be a simpler way forward in one way — you have no control over appearance, so you don't have to make any decisions about what or how to publish, other than removing information about living people and any other private or sensitive data, just as you would with your own website. (There's some useful discussion of this topic at What information should or can I publish to a web site?.)
With Ancestry, you can control who can view the tree, from restricting it just to people you authorise to allowing unrestricted access. Your relatives may not find it convenient to set up an (free) account with Ancestry, which they will need if you chose to restrict access.
Ancestry is a good source of contacts with unknown cousins, but makes it very easy for them to copy your work without permission once they have access to your tree.
If you were interested in "matches" I would recommend you take both approaches — your own website, that looks the way you want it to look, and is easy for your known relatives to access, and Ancestry (or a similar provider) to maximise the chances of finding unknown cousins. As you don't care about matches, your own website is probably a better fit for what you want.