ok ,you obviously don't know anything about guns. dual wielding guns may work in the movies or games but it doesn't work in real life.
i would have three sets of weapons:
(obviously none would be fully realized until after law has collapsed - for legal purposes)
Voere .22lr (single shot bolt action rifle), Jennings J22 pistol, combat knife
I have my voere rifle on a homemade bullpup stock, 4x32mm tactical scope mounted, its very light, short, and extremely maneuverable. and my mk22-27 suppressor, a unusual slip-on suppressor that is extremely durable and very precise. The J-22 is a cheap .22lr pistol I got from some old dude on the street near los angeles. california (state) doesn't like the pistol but I do.
scout mode is when I need to be able to move fast (on foot) and shoot quietly.
urban combat :
AK47 rifle, CZ-52 pistol, mini pry bar
my wasr-10 is great but it's a little short of what I really need. I'm gonna find a milled receiver AK47 rifle, modify the trigger group for selective fire. put in a slant brake, and weld on the bayonet lug. the CZ 52 pistol is rugged, reliable, and accurate. with the proper ammo it can even penetrate some armor.
mosin nagant m91/30, cz-52 pistol
you take a counterbored mosin nagant, mill a brake into the counterbored section of the barrel, remove rear sight base, attach a red dot scope, make form chamber adapters for 7.62x25mm and .32 pistol calibers. and my mk 21-24 suppressor
the cz 52 pistol as-is, but with tools and a spare 9mm barrel.
this loadout is mostly for long range, I can shoot the powerful 7.62x54r round, and hot 7.62x25mm round, or .32 acp from one gun. .32 acp by itself is very quiet, with a suppressor its virtually undetectable.
the cz 52 pistol can shoot 9mm if you have the 9mm barrel. its a simple swap, basically a drop in modification.
and finally as a melee weapon I would probably create a custom blade bayonet for the mosin. I could attach it to my rifle or use that as a really long knife. the current spike bayonet isn't useful for much more than stabbing.
how would dual welding not work a lot of ppl work up there strength to hold 2 and them some would use to and put one away after a while. Thats one thing I would do is carry to but mainly use 1 and if it calls maybe both if I have to but who knows I guess Ill find out when zombies come
Okay first off grammar is your friend, secondly dual wielding is holding one gun in each hand and firing at the same time, it is frowned upon because it is impossible to aim properly with you non-dominate eye thus you've got one gun firing well aimed shots (theoretically) and another that isn't hitting anything. What you are talking about here is having a backup weapon which is something practice by nearly all professional shooters be they police or military.