As my new home is RJ45 connector, do I need to get new phone to connect?
No need as you may need to use the RJ45 to RJ11 adapter.
If the home phone is connect to Fibre ONT/modem then there is Tel port RJ11.
RJ11/RJ45 adapter can be purchase in most stores.
i am not starhub staff.
RJ11 plugs can actually fit in a RJ45 socket and will work normally. Please do try it!