A cat will trigger PIRs (movement detectors)
unlike dogs, you can't aim them above walking level, because cats can climb on furniture and curtains.
There are some that are supposed to have limited sensitivity so they will only react to large/heavy animals.
You can have sensors on your doors and windows, and (quite old fashioned) you can still get pads to put under stair carpets to detect when people walk on them.
the figure you mention suggests it will not be of a standard to be monitored and get police response. That would probably cost a few thousand.
I strongly recommend you get one that can dial out to nominated keyholders in the event of an alarm, preferably including a trusted neigbour, and put the control box in a place where it cannot be found and disabled before it has done so. You can put the keypad, separately, near the front door, and perhaps have an extra one in or near your main bedroom so you can night-set and unset it.
You can get alarms that connect to the internet and send up videos of your house so you can watch the burglar at work; and any hacker can also watch you as you live in your house. I am not so keen on them.
if your trusted neighbour is alerted, and looks out to see people breaking in, they can phone the police because they have confirmed it is not a false alarm.
Sound-only alarms are mostly ignored.
The DIY wireless alarms are much cheaper, and if you can use a screwdriver you can install them in less than a day, but professionals sneer at them. I have used them, with dial-out ability, and think them useful. I am not keen on alarms that only work if they can get an internet connection and your smartphone is online, though this is the modern trend.
It is notionally possible for wireless alarms to be disabled by a high-tech hacker, especially if you have an internationally famous collection of jewellery, but I think this is unlikely if you are an ordinary person in an ordinary house and your burglar is a 14 year old tearaway or a crack head.
I like to set the external doors to "chime" so the panel bleeps when somebody comes in. Handy in summer when you may have the back door and shed or garage unlocked if you have been in the garden. Also if you are upstairs it will alert you when you are not expecting anyone to come in.
You can get keyfobs to turn the alarm on and off. I am not an alarm specialist but I think this is a weakness if someone steals your keys or handbag, so they know your address, and can unlock the door, and turn off the alarm.