In reply to Martin W:
An alarm is only one part of the security system, and I feel not the biggest, but some disagree.
A burgler can be in and out in 10 mins. How long will it take a neighbour or the police to call round?
I've always thought that you should make the place look as unappealing to burglers as possible. In my house, the wife and kids help to do that by making such a mess that nothing is findable in 10 mins.
Locks. Get good quality ones, but make sure they are in good quality doors and windows. A spiky bush in front of a window is always a good deterrant. Try to make sure the good stuff is out of sight where possible. Remember half a brick through a window can defeat even the best lock.
Gates and fences are jump overable, or easy ways to the back of the house where nobody can see... Can you improve them? roses along the fence may be a good idea? Lock the gate. Lock the shed.
Will the shed contain anything to help someone get into the house? if so move it or secure it.
Keep keys out of sight, preferably locked up. I hear house breakins are often for car keys, so get the habit of hiding them out of sight.
Round our way, alarms are generally ignored. I have quite a good system but doubt it will really deter anyone from 10 mins work. I do however have securely locked gates and high rickety fences to slow them down. I accept that someone will get in if they want to, so I have cameras. High up and recording to a secret place. At least I'll get a picture of the buggers as they enter and leave.
Until you have done all the steps you can to make the place at least as secure as your neighbours, don't bother with the alarm as it's a false sense of security and another thing to go wrong.
Look at your house and think "how would I get in if I'd lost my keys". Fix that problem first. Then do it again until you are down to locksmiths or smashing windows.
Maybe to answer your questions, Fobs are great, especially with house guests. (Unless you are my Mother in Law who cannot get the hang of touching one piece of plastic to another and listening for the beep.) Monitored is great, but only if the police turn up in time. I know people in very expensive Edinburgh who swear by them. -Have you thought about communicating alarms which call a number? I fitted a Yale many years ago which was quite good, you could even arm/disarm it remotely.
False alarms happen. you just have to hope not that often.
Wired is better than wireless. always, for everything electrical.(almost)