Upvote:0
You can see public transportation routes on the map feature of http://www.rome2rio.com. Click the "Transport" button on the map.
Upvote:3
I would strongly advise you to reconsider your plan. That hotel is not even in Johor Bahru city, but a good 10 km away.
Public transport in JB is pretty abysmal: bus route information is hard to find, signage is bad, frequencies are sparse and the service is unreliable. You'd probably be best off taking a taxi direct to JB Sentral, but they're pretty mercenary as well and will rip you off if they can.
Once you get there, you'll have to fend with the crowds at Malaysian immigration, take a bus to cross the border, deal with more crowds on the Singapore side, continue by bus to Kranji MRT, and then ride to the city for the better part of an hour. This can easily take two hours on a good day, and most days around Xmas/NY are bad. And when it's time to head back, you get to do all this in reverse!
So I'd advise you to either pony up and stay at the Marriott in Singapore itself (which is extremely centrally located right off Orchard Rd), or forget the points and stay in a cheaper local hotel.