Gratz man. But if your pipes froze, they'll freeze again. And, if somebody else lived in the house before you (I assume so, since y'all have copper pipes, and those are kinda old) the pipes prolly froze before.
Each and every time the pipes freeze, they weaken.
Now it may be that copper pipes can last a while, but PVC (plastic) pipes will eventually break if water keeps getting frozen in them. (I assume you know how ice takes up more volume than the same weight in water, so a pipe that freezes has pressure building up inside it). I dunno squat about copper pipes.
So, you might want to figure out if it really was a frozen pipe. And if it was, where it froze. Then insulate it. Or else, keep a trickle of water running through it on cold days/nights (running water is harder to freeze - if you have a borderline system this could solve your problems).
HTH,
T