I try not to carry too many weapons also... usually just ones for a few common situations.  Like so:

Hunting Rifle - long range
Scoped Magnum - longer range
Frag grenades / pulse grenades - there's always a reason to blow shit up. 
Fat Man - See above
Sydney's Ultra SMG - Sometimes you need to fire lots of shots 
The Terrible Shotgun - close combat
Android's Plasma Rifle - I find it works great against all kinds of different enemies, but espeically robots

Other than those combat weapons, I take what I can carry from the people I kill and repair stuff when I get multiples.

Terrible Shotgun Spoiler alert

Don't read below if you want to find it yourself.



When you're in Evergreen Mills, there is a Trader named Smiling Jack or Happy Jack... something like that.  Kill him... he's got it.  I didn't lose karma when I did.  Plus you pay him to repair stuff or buy stuff from him, then just steal it all back.  But the shotgun is the definite prize... Mine is repaired to about 75% and it deals 80 dmg

Well heres mosta my weapons...
10mm machine gun
A3-21 Plasma rifle
scoped 44 magnum
combat shotgun
laser pistol
laser rifle
ol painless
minigun
vengeance
ripper
Chinese assault rifle
fat man
missile launcher
sniper rifle
sawn off shotgun
railway rifle
dart gun
bottle cap mines
frag nades
pulse nades
frag mines
pulse mines
flamer
alien blaster

so yeah...not much.

I absolutely love the Combat Shotgun.
Also carry the Chinese Assault Rifle,
.32, .44, and Frag/Pulse Grenades.
(On a lean inventory, otherwise more)

I noticed the 'pants exploded' stat and
have to try that - targeting legs perhaps.
I found Lincoln's Repeater but was thinking
of selling it for the Head of State side quest.
Sounds like I might need to re-think that
if so many players like it so much. 

I pretty much just carry small guns such as Magnum, Hunting Rifle, Assault Rifle.
I don't care for explosives (so I just sell them all), and I don't care about Big Guns either.
This way I can just sell all my ammo for guns that I don't use, making a lot of extra caps.

I carry some big guns for emergency but i mostly use scoped magnum,Linclons repeater and assualt rifles i only really use big guns for fun like killing someone who cant die like paladin Bael

Did you people really use the fatman?? I tried to ignore it even existed...

I was a small guns dude so I carried rifles (huntin', chinese and lincoln's) and one combat shotgun, and 10mm submachinegun for when I was outta ammo for the rest or they were in too shitty a condition. Also had one rocket launcher and a minigun for when I needed to feel like a total badass . And energy rifle (A23) and pistol just for the heck of it. Of course, I was also carryin' a shitload o' frags.

Oh! and the poisoned stick from moira. It would efficiently deal with the annoyin' molerats... and cockraches... and boatflies... and some ghouls even...

When looting dead people I would repair everything I could and sell the rest.

So many good memories.... too bad I'm waitin' for modders to make it the real game I wanna play!