I don't have an Uberti Remington but my Grace USA Colt Peacemaker set of gunsmith screwdrivers work on all of my other Uberti, Pietta, ASM and Palmetto revolvers. Also have the Ruger set for the Old Army.
One of the best cone wrenches IMO are the ones from Track of the Wolf, the NW-130 should be the right one for your sixgun.
You can also custom make a cone wrench from a deep socket and make your own turn screws from bar stock, round stock or buy the set from DGW and then file them each for a perfect fit and then re-harden.
We also use Pistol Loading Rods PL-5 type from Track of the Wolf. These have a jag or we attach one, phosphor brushes and mops. Also use a short one to clean out the chambers with the mop. 3 in 1 tool, which is brass punch with cone pic comes in handy too.