How to say adult only wedding in a polite way

On the envelopes when we mailed out the invitations, we put the guests names and if they were being extended a plus one, I put "so and so and guest". Otherwise I stuck to first and last name. On my wedding website I have a FAQ page, and one of the questions is: "children allowed" and then beside it I put, we would like it to be party friendly vs family friendly.

Thank you for the advice so far. I think I might say "While we love to watch the children run and play, this is an adults only kind of day." something along those lines or just add this picture (below) to the invitations.

no children

Any further sugar coated ways to say no children pass them along. Thank you in advance.

Alexis

We simply stated in an e-mail to everyone that they would be receiving invitations soon and that although we love kids and dogs, neither are invited to the wedding. My friend said in her e-vite "Please note that as much as we love children, this event is adults only. Thank you."

As for the plus ones, that's a little more difficult. You can add a note after the kids thing saying "though we would love to share this occasion with everyone, that is not possible. Please note that unless indicated on your invitation, no guest should bring a guest." I don't know just something I thought up on the spot but I hope it helps.

On the RSVP card we put "we have reserved _______ seats in your honour". So for example, my friend who has 2 children I made sure to put " 2 seats" for her and her husband so it's clear she cannot bring her children. I also made sure to only address the invitation to those attending so instead of "_______ and family" I simply put the couple's names.I'm not sure if this helps at all so sorry haha