snipe em with ur guns from range ... ( try to bring guns with elemental attack there , because elemental attack is strong vs constructs like the turrets).

Just to clarify what was said above--

Constructs are weak to elemental, so it's best to attack them with something that does elemental damage. The shadowtech alchemer is not a good option, as it deals shadow. The rest are fine--as others have said, the prismatech does the most pure elemental damage, but lacks status effects. Cryo and Firo can do ice and fire, respectively, so you need to decide if those are important to you.

It's easiest to shoot the turrets from a distance. If you can find a place out of range of the turrets to charge your gun, the move out and fire, all the better. That's not always an option in the jigsaw valley levels, though, but remember that with the alchemers you can move while firing, so shooting and dodging enemy attacks is possible.

Your current setup isn't very useful, as everything you have does normal damage and is short range. Swords can still be useful if you use one of the elemental brandishes and can dodge or block attacks until you get close enough to attack. Vials, as has been said above, are good at dealing with the puppies.

If you still want to (or have to) keep your current gear, try vials from a distance first. After that, if you need to get close to finish them off, maybe take turns with one of you shielding and the other attacking, that way your shield can recover. If you're close enough to run and in plant your bombs, dodging the attacks, that's also an option. Also note that the gun puppies do elemental damage, so if you have a shield against that (the plate shield only defends against normal) it will last longer.

Hope that helps.

Or get the Kilowatt Pulsar (from the tokens gathered from Ironclaw Munition Factory). It deals extra damage to the puppies since it do elemental damage and the explosion cancels them from attacking.