I have a question about fasts when traveling
If i arrive to my destination before zuhr and leaving that destination on 9th day before zuhr, should i fast and offer regular prayer.
This destination is my 2nd home as i am visiting my kids

If you consider it your hometown then you must offer full prayers and fast as long as you are there irrespective whether you leave before Zuhr or after.

If when you left home to go to your second hometown you broke your fast in between which is allowed then you would have to do qadha afterwards