You can connect whatever detection you want to your alarm.
You need to bear in mind that contacts will only operate if the frame is opened.
If "window sensors" mean shock sensors, consider bird strike and cats jumping on the window ledges.
Coverage on perimeter is generally less so you need to design the system around this.
Perimeter protection in the areas with pets and movement detection in other areas is recommended.
I have had good results with Bosch Blu pet sensors but using a movement sensor and asking it to ignore certain movement is not ideal.
A good option would be installing movement and perimeter protection in the areas required and using panel programming to control the enabled sensors.
This will need planning, good knowledge of the equipment and increase the cost of the system, but well worth it.