If the fillets are not frozen in water, take them out of the freezer the night before and place them in the fridge. If frozen in water, sit in a bowl on the counter first thing in the morning.
Use vegetable oil like the past post said, it's easier to control.
Dip the fish pieces in egg and then in plain bread crumbs spiced with whatever you want ( I like Thai Spices). Make sure the oil is hot enough (should also be deep enough for the pieces to float) that the pieces sizzle when you put them in the oil, they will be greasy if you put them in too soon. Stay by the stove and don't leave. Keep an eye on the oil while it's heating up so it doesn't get too hot (an electric frying pan would benefit you in keeping the temp around 375). Turn the pieces when they become golden brown, that should only take 2 minutes. Place them on something to absorb the oil and keep warm. I like to serve with some dipping sauces if people say they aren't crazy about fish. Everyone eats it whether they like fish or not.