You're going to want to promote your collection. The biggest thing I can say is to put them where you can see them. We started with them on a cart behind the desk where patrons could ask to see the games. That worked at the start, but then they stopped being asked for and we weren't getting patrons. I moved the games over to another shelf that patrons can walk to and look at without asking for assistance but still within eyesight of the desk. This led to a massive increase in checkouts, and has been consistently growing each month since.
We also have signs in the library talking about them. From signs on the desk, to a slide on our TV at the entrance to the library, we put up signs to both introduce patrons that we have games, but also where they're located.
Lastly, just like we did, I encourage you to put out a press release. Brag about it to the public. You did the work of adding a new game collection, show it off. If your library has a PR person, they likely have a contact with local newspapers anyway, so take advantage of it. I included a copy of ours in your packet so you can see the idea.
In a side note, if you have a library blog, write up about it and put it on there. We did that for each time we add more games, and I always try and do something to talk about something new with the games, whether it's adding kids games specifically, improving the wiki, changing the loan rules, etc. Something besides we've added new games. I also like to give a highlight to a couple of the games to get patrons intersted.