Hi Taipan, and welcome to whatbird. Location would help in the ID, as would the type of habitat nearby. Peregrines are almost twice the size of kestrels, with the latter being just smaller than a bluejay but with longer wings. Another common falcon is a merlin, which is a bit bigger than a kestrel. If you get another look, check for any colours, facial patterns, tail patterns, etc.
Scott
Oh, I see Randy has added some useful behavioural tips as well.