This is actually a game problem right now. I literally see no sense on giving a sword to players that would prefer other weapons instead.
- You can however go to Rookgaard (warning: Rookgaard is not designed to provide the best experience for Tibia newcomers, according to modern standards developed by game designers. Keep in mind that Dawnport is supposed to be the most indicated place to start your game) as soon as you create a new character and talk to Inigo NPC about Rookgaard. You will be able to level up there, and when reaching level 8, go to the Oracle and to the Island of Destiny. There you can go to the Knight's Guild, choose the Knight vocation, where you will have equivalent weaponry for axes and clubs (and of course, the option to pick up the Jagged Sword). But rest assured that you can only get one weapon out of the three available on Island of Destiny.
Well, most of the time it is not worth to go through this on Rookgaard... It is a quite slow place to make experience, so unfortunately, you will be better leaving Dawnport and getting a new axe or club on a Tibian City.
- You can however buy a better axe or a club at a NPC on Mainland as soon you arrive on a Tibian city after leaving Dawnport!
I will cite one club and one axe easy to obtain at any city with weaponry NPCs, and they would be good options for players:
- Morning Star (one handed, club): 430 gold pieces - atk: 25 def:11
- Battle Axe (two handed, axe): 235 gold pieces - atk: 25 def: 10 (SPOILER: there is a quest involving this weapon, as the user YuriValle already mentioned. You can look up for more information regarding it here)