AO-Universe

Sharpened Kinetic Axe x2 for my melee Advy http://www.xyphos.com/ao/aodb.php?patch ... &id=209285
Will need to take a break from the game and see what a Froob would use next, I'm going to guess it'll be something like the SOL Fire Executioner Type C http://www.xyphos.com/ao/aodb.php?id=160242

It depends on your play style. Some people don't worry about having the best weapon they can have at any given time, because you'd be switching to a new weapon every few levels and that can be costly and/or very time consuming. I'd say when you start to feel that kills are taking too long is when you should seek out something new for a replacement.

The only time I get the best weapon I can on is if I'm parking the toon at a specific level for a reason. I know then I won't be leveling up, so having the best one I can will be more beneficial.

There's always the crazy twinks out there that constantly have the best weapon and swap it out often, it's just a tedious process at times and expensive.

sound like a solid plan, go till I feel they're no longer useful

For 1HE advy's the progression of weapons is quite straightforward. There's 1HE weapons in nearly every dungeon (except Subways) for you to use:

Tiny Sword
(whatever the Tiny Sword is called once it's upgraded)
Kinetic Axes
Nervejolters from Steps of Madness
Phase Blades from ToTW
Frozen Tear of Uklesh from ToTW

It's at this point that there's a gap, but there are plenty of good ones to choose that are fairly easy to get from such as:

Meibutsu Daito of Aptitude which can be bought from Tsunayoshi Smith
Sol Executioners which are mission rollable

After that

Chiropteras and Crispy Chiroptera's from Crypt of Home

that will take any froob advy from level 1 to 175 with ease.

after that, gelid blades are nice.