In reality moving from eBay to eBid is like moving from the high street to a car boot. Sure, the rent will be far less at the car boot but the traffic will be vastly reduced.
Remember, there is a reason they are selling unlimited listings for £49.99!
I'm not saying don't try eBid, but I suggest using both. Run them together instead of putting all of your eggs in one basket. If you arn't making any money on eBay then it may be a case of looking at your business model, because in my (humble!) opinion, Fees arn't that high when you look at the traffic it generates.
Good Luck though!