The Amal sherut And regular taxis will be available.
I just realised it begins on the 23rd not the 24th of September. Does this not matter then - is it just the first day (the 23rd?) that transport will not be running?
The holiday - as with every day in Judaism - starts on the evening before, at sunset, in this case on the evening of September 23, and ends at nightfall on September 24.
Public transport will stop running in the late afternoon of the 23rd and resume after dark on the 24th. Depending on what time you arrive on the 24th, you may be able to take a railway replacement bus from the airport to Tel Aviv, and then a train from there.
Going on the assumption that the railway replacement buses will be running on the evening of the 24th the same as on a Saturday evening (currently no trains on Saturday evenings because of development work on the railways), the first bus will be at 21:15. It goes to Tel Aviv Savidor Merkaz (Central) railway station, from where you will be able to get a train to Haifa.
If you are arriving long before that so waiting around for hours is unreasonable, your choices are the Amal shuttle to Haifa (10-seater minibuses that leave when they are full, no idea how long you might have to wait), it goes 24/7, cost NIS 77 per person to a central point in Haifa, or NIS 119 per person to a specific address, or a taxi, see here:
It would be a lot simpler if you would post the date and time your flight is scheduled to arrive.
Thank you so much for your help
We arrive on the 24th at Tel Aviv airpiort at 2:30pm (afternoon) so I guess best option is to take the Amal shuttle/sherrut?
Is there a particular level/floor/area they are waiting at the airport?
Yes, take the sherut. Go out the main terminal doors, walk down to the road and follow the signs.
There will not be any train service when you arrive - you can take the Amal service (or a regular taxi) - they are both available right outside the terminal when you leave.
Thank you. I think we will take the amal as it seems to be 77NIS for city centre and 117 or so to an actual address. I assume the actual taxis would be a lot more expensive than that?