or, www.myswissalps.com/ti metable
The time table shows that 9 trains depart Zürich Main Station for Zürich Airport during the hour after you arrive at 2120.
I, personally prefer NOT to walk with luggage at night in a strange neighborhood. I'd make an exception from the airport, because the hotel is very close to the airport, but not if I had my usual load of luggage for a long trip. The cab might take Euros; exchange rateis somewhere around 1 euro to 1 CHF these days.
They all seem to take credit cards these days.
Of the options discussed above, the simplest is to take a taxi from the main station, which is quite busy at that hour. It will be about a 15 minute ride, maybe as little as 10 minutes. It will cost around 70 or 80 CHF. If lucky, maybe 60 CHF. Cabs in Switzerland are expensive. No extra charge for baggage.
The next best option is considerably less expensive. Take the train to the airport and get to the hotel from there.
Of the 9 trains within the hour after your arrival, the 2137 t0 the airport is shown in the timetable to have a high occupancy. Not good with luggage. The next one, at 2139 has normal occupancy , and leaves from track 13. That will be convenient. You come into track 9.
www.sbb.ch/bahnhof-services/am-bahnhof/bahnhof/shopvi lle-zuerich-hb/geschaefte/shopdeta il.onesbb-shopdetail.html/de/zue rich/09_eg_hh_treffpun kt.html
You will be near the ticket machines. The one at 0944 leaves from track 33, which is a bit more of a walk.
At the train station, a 2 CHF coin in the slot on the lock that plugs the luggage cart into the queue gets the cart out of the queue and is returned to you when you plug it into a queue at the end. It may also take a 2 euro or a 1 euro coin instead. Luggage carts can ride the escalators.
Take the train to the airport. The train station is below the building across the street which has shops, parking,a food court, etc,
The luggage carts are free and can ride the escalators.
Next. my personal choice would be the shuttle for a fee mentioned by Arno. Cheaper than a taxi.
In daylight, with light luggage I would walk it. Not at night after a long train ride.