I guess the main one is to talk to your skaters. They will be able to tell you (after they have warmed up) how the ice is handling on that particular day. Generally, skaters like the ice slightly softer than ice hockey players and general access skating rinks. Get to know your chief Reefer (Refridgeration engineer) - If you get along well with them, your skaters will really appreciate it.
Find out if you are expected to assist in ice maintenance.
As far as ice crampons and cleats, they tend to wreck the surface of the ice, instead, double sided gaffer tape and an old credit card - stick it to the sole of your shoes, embossed side down. Always worked for me. No matter what you have on your feet, nothing will help you gain traction on freshly lain ice.