Higher fat content means fewer ice crystals in your frozen dairy product.
Fattier dairy products are frozen like milk. Leave an inch of room in the container or bag for expansion.
Like milk, thawed half & half must be stirred to prevent textural changes.
While thawed heavy cream doesn't separate much, it won't whip as effectively as fresh cream, so keep both for cooking or cheese-making. You can freeze whipped cream.
Half & half and heavy cream may be refrigerated for up to two months but, like milk, should be thawed in the fridge and consumed within a few days.
If you're a dairy-guzzling pervazoid like me, this shouldn't be an issue.