Burglars, one of my least favourite NPCs after zombies. I suspect this has a lot to do with being robbed in real life. Very distressing.
Bearing in mine I don't use mods I do the following to minimise the risk.
Get a burglar alarm. This is one of the first things my sim gets when they start earning.
Lock the doors and limit access to the house.
Pounce on them. This action doesn't always appear but if you wait for the police to appear the burglar and your goodies will be long gone. I don't recommend this course of action in real life but this is the sims and as far as I know none of them have ever died of the shock of being robbed. Besides I have the memory of my hubby in his dressing gown, armed with a golf club, slashing at bushes in the garden long after the burglars had scarpered. Both funny and tragic in the same moment :)
Insurance and if the worst happens don't replace the tv, buy the burglar alarm instead, your sim can live without telly for a few days :)