Early laning with Tryndamere is very easy. He is very strong early game. First of all, following this build will guarantee you to easily get Legendary. First, get the Doran's blade. Second, you would want to save up to 920 to get your Bezerker's Greaves. Then follow it by buying the B.F Sword before the Vamparic Scepter. Having these two items require The Blood Thirster. Jungle about 5 min to start your Blood Thirster.
Once you reach 1,195 Gold. Zeal will help you alot, so will the Phantom dancer. It is optional you can buy a Dagger and Brawlers gloves to purchase the Zeal. Ditto with the Cloak and Dagger for the Phantom Dancer. Another item that would pretty much let you one hit summoners is The Infinity's Edge. I recommend people buying The B.F Sword, and Pickaxe for the 2 spaces left that you have. Another important thing you have optional is the last item. What I mean is you can Purchase another Blood Thirster for more Attack Damage and Life steal or another Phantom dancer for more Attack Speed and more Critical Strike Chance. If it is the Blood thirster, buy a B.F Sword and wait until 1,350 Gold, (Or the price given.) For the Phantom Dancer, buy Zeal, then wait for 1,650 for the Phantom Dancer. You can Sell your Doran's Blade and Buy a B.F Sword to get ANOTHER Blood thirster. I hope this build really helps you guys. This is my VERY first Build i have ever made. Good luck with Tryndamere!