House Or Rental
There are plenty of houses to rent that are conveniently located up canyon. Solitude resort is just down the road from the lodge and has great deals on suites that can sleep up to 8 adults. Check the link above to find other rentals as well!
Train
UTA Trax is a great resource to explore the Salt Lake valley. It does run from the airport right into downtown, about a 40 minute ride.
Flight
Salt Lake Airport is a convenient 10 minute drive or 30 minute train ride into downtown Salt Lake. It is a hub for Delta Airlines so you can typically find better deals with them other the other airlines. Check out the Google Flights link attached to plan you're travel arrangements.