Some basic steps will prevent 99.9% of "router" security issues (there's always that REMOTE chance, even if you follow best practices, that someone is persistent enough to "break in")...
1. Always change the default administrator router username and password (use a lengthy phrase for your password, such as "the$heepjump3dovertheFence"...longer passwords are tougher to crack) on your router...admin/admin begs for problems, and changing the password a few times per year won't hurt.
2. Keep port forwarding OFF.
3. Don't allow remote management of your router from the WAN.
4. Keep your firmware updated...back doors/security holes/vulnerabilities are discovered occasionally, keeping things up-to-date will minimize risk of security compromises through firmware
5. Use hidden SSID's for your Wifi so that you're not publishing your Wifi network name out to your neighbors or passer-by's, and use lengthy passwords for your Wifi network(s).
There are dozens of other "best practices" measures you can take, but the 5 above should make life quite difficult for an unwanted guest trying to exploit your router. Of course, getting phished or clicking on one of those "you have a virus" pop-up windows on your laptop or tablet/phone will flush your great router hygiene down the crapper.