IIRC "regular" home heating oil in the US is #2 grade, which may be similar to #2 diesel. There are different grades of both, you might want to make sure that's not an issue in your area. In the US there is also "winter diesel", i.e. the diesel fuel you buy in Minnesota in February will be different from the stuff you buy in Florida, to make sure it doesn't turn into jelly in the cold.
One hopes the heater will come with instructions as to what it can tolerate.
I also remember there are some specific warnings about not shutting the heaters down "immediately", apparently the ceramic parts in some can shatter from sudden temperature changes, so if the instructions say anything about warm-up or cool-down periods--follow them.