If you don’t want another monthly fee (forever), you might consider having them install a couple very large sound speakers in your soffits (usually hidden up in the garage soffits facing the street). If/when the alarm goes off, it will blast so loud everyone withn a country mile will hear it and hopefully respond in a positive way for you. A smaller wall mounted speaker in the house also helps to blast noise inside. This serves two purposes; 1, if you are all sleeping, it will wake you/everyone; and 2, if someone (criminal) is inside when it goes off, it scarres the sh!% out of them and will usually drive them out ASAP.
Home alarms can be installed in many ways too. You can get the very cheap system that will go off if/when it senses an intruder inside the premise, or you can have perimeter seurity that goes off the second they try and enter anywhere around the perimeter – before they get in. You can also have other bells and whistles added like water main break/flow alarms, low temp alarms, interior motion that allows for pets to move around (but picks-up people), gun/other safe monitoring devices, conections to already installed smoke and/or CO monitors, etc.
Monitoring is just part of it, but it’s the part they always want to hook you on so they get the forever monthlly fee. Remember, not all companies are the same either. Like everything, you get what you pay for.