DH and I each have subscriptions, but they are on separate accounts that renew at different times. About 2 months ago, I called a month early to tell them to not auto-bill when DH's subscription reached the cancellation date. When asked why, I simply said the value of the service for him didn't warrant the high renewal cost so we were going to cancel. They very quickly offered him 12 months for about $80; as neither of us wants to deal with renegotiating every 5 or 6 months, we accepted that rate. They did begin the new rate immediately, even though there was a month to go on the old subscription, but they also gave us a credit for the unused month - fair enough.
A couple of months later, I called in again to cancel the auto-renewal on my car; same situation - I was about a month away from the renewal date. I was again offered the same 12-month deal when I explained the full price wasn't worth it to us, especially since we commute to work together most days; it's almost like each car is only used half-time.
Anyway, I was pleasantly surprised that I didn't have to jump through hoops or transfer to another department to get a rate we were comfortable with.