I have belonged to both this year. They are owned by the same company (Dealpass), have the same prices and the same shipping options.
So it's pretty much your choice.
The only differences I can see are:
1) Hotwire's monthly price is lower if you stay in beyond the free 30 days ($8.95 I think, rather than $14.95 for Connections).
2) You can sometimes get a free giftcard w/Connections and earn 950 reward points thru Creations Rewards, or $4.75 thru Quick Rewards. With Hotwire, you get $10 check back.
One thing to consider is join one now for the free 30 day trial ~ then join the other later if you need more Disney stuff or Giftcards.