I have never caught a pike or muskie before should I fish for them? If yes what should I use.

Both pike and muskie are basically cold water fish. If you live in the south, it might be a waste of time. (sure would be nice if posters would state where they fish!)Pike are relatively easy to catch, muskie not so much.For pike med-large spinners, medium bucktails, crankbaits and larger live bait all work. Try weed edges near deep water or drop-offs. For muskie most of this applies, just use larger baits and a lot more patience. Muskie like to follow baits and not strike, so a couple of "figure 8" moves at the boat can help hook reluctant fish. Read some of the old posts here, it is worth the time.

The first thing you have to do is find a place that has pike in musky in it. Most anything will catch them but be sure you use a steel leader. If you give us more info as to where you might be fishing we might be able to be more specific.

scroll down the left hand side to the articles on pike and muskie
http://learninghowtofish.com/

should you fish for them ?  you have to  make the judgment but   these fish have sharp teeth so  proper release equipment , tools are a must have for your safety as well as the fishes. 
Now with that being said
Like wellsley said they need to be in the lake to begin with . Contact your dnr fishery and ask them, ask your bait shop owner, or others you may know, in other words do your home work .
Some lakes may hold big fish with small numbers other will hold small fish with big numbers. So ask your self what your goal is , to catch a pike or muskie or to catch a whooper and go from there.

Thanks guys for the info i am planing to head to lake champlain sometime soon

That's a good place to catch'em!

Yep Champlain has both and pickeral too. Champlain is murky water so use something that will attract them like lures with rattles, spinners with blades that creates alot of vibrations. Buzz baits.

Most folks don't realize how tasty Northern can be. The trick is to remove the "Y" bones. I was taught a trick called zipper stripping and it does an excellent job. One of those things that is easy to demonstrate but hard to describe.

I agree i think pike are one of the best tasting freshwater fish when freshly caught, but those bones are a pain in the butt!  And yes you should try to fish for them, just take some time to learn what to use, get the right tackle, and take a shot, but dont plan on catching a ton of them in a day, they take time, but are worth it.

Where is Lake Champlain?

On the border of New York State and Vermont.

Yep, right next to Lake George...

It also borders Canada and is 100 miles or so long.

If you fly fish pike can be a blast. Problem is that they don't spend a lot of time in shallow water. This limits time to fish to during the spawn or in shallow rivers and lakes. Most any large streamer pattern will dobut what I usually use is a MEGA DIVER. A spun deer hair and synthenic surface fly that dives on retrieve. You will need a verly heavy fly rod- most use 7 to 10 weight but I prefer a 5 weight. As mentioned you will need a steel leader. And as for eating- it's hard to beat a pickled pike.