There are several different varieties - do you know which it is?
If it's a relatively hardy type I'd keep it indoors until the weather is much more spring-like - probably until the last frosts have , then it could go outside - I've got one that I've had for years, I've kept potting it on and now it's in a big tub which I move to a sheltered corner for the winter then back to a semi-shady corner on the terrace in the summer.
The main reason for keeping mine in a pot is that it's a blue one, and as we're on alkaline soil here, I can use acid compost and then, even if I water it with tap-water I can add some of the blueing powder you can buy at the GC, it still remains a deep and vibrant blue rather than turning pink.