If you already fish for carp you may well have most of the tackle you need. Any carp rod with a test curve of 2.75 or 3lbs is equally good for piking. Similarly, any decent reel you can use for carp fishing can be used for pike fishing as well, although you will need to load it with heavier line than you use for carp. I recommend 15lb test mono.
More important in many ways are the peripherals. You need snap tackle on good wire traces (you can make your own, but I recommend starting with tailor made ones). I use size 4 trebles. Go for traces that are 18" long or so as pike can sometime bite through the mainline if they are shorter. You need an unhooking mat, forceps (I recommend long ones so that you can reach hooks when the fish swallows them deeply) and pliers for unhooking. You also need a good set of wire snips so that you can cut hooks through if you really can't unhook the fish. Depending on whether you are float fishing or legering a good drop-back bite indicator is also really important. Pike takes are not like carp ones and the fish often just move the bait a few inches. If they move towards you a drop-back indicator is sometimes the only way of knowing they are there. A lot of people wear filleting gloves when unhooking (although I don't like them myself they do mean less grazes to your fingers). Finally, I always carry a decent first aid kit. It is almost inevitable when handling pike that you will get the occasional cut or graze - and because pike have a coagulant on their teeth you will bleed good and proper when you get nicked!
Finally, I always offer this advice, but if you are going piking for the first time, get someone who knows what they are doing to come with you and show you the basics on handling and unhooking. Pike are surprisingly delicate and I don't think there is anything worse than seeing a fish die as a result of something you could have avoided.
Piking is my favourite type of angling. I hope you have as much fun at it as I do.