1hand VS 2hand.

[Broor]

The answer to your question may ultimately come from the weapons that are available to you. If for instance a high level player gives you a decent magical 2HS weapon, you're going to use that. If you're left to your own devices, the best magical 1H weapons near your starting area are the Langseax/Gnoll Slayer, so you may wind up focusing on DW 1HS.
The deeper answer to your question is that you will be accruing a damage bonus as you level past 28, and players that know a lot more than I do have deduced that fast 1H weapons best utilize this static damage bonus, rather than slow 2H weapons with big damage numbers. My limited understanding is that a level 49-50 warrior will have a primary damage bonus of 8, and thereby an Electrum Bladed Wakizashi with a 7/21 ratio would turn into a 15/21 in the primary hand? An axe of the slayers would turn from a 23/48 into a 31/48? That may not be right, and I would appreciate the correction if an expert is reading, but the gist is that faster weapons give you more opportunities to capitalize on that damage bonus, hope that helps-
As far as your warrior's weapon goes, level to 13 or so, ask a mage to make you a magical weapon and kill as many wisps as you can, and then sell those greater lightstones to players for 15p until you have enough money (40-60) to invest in a magical weapon.