Define "better" because I can give you my version of better but it's going to cost.
I assume that the reason you have a second soldering stand is that you're going to junk the one that came with the Weller because you are mainly after the brass wool.
Might want to add an ESD mat and wrist strap in there.
You'll want one or two good pairs of tweezers and maybe some hemostats. Some wire strippers and shear cutters as well. Possibly also a pair of needle nose pliers but I find that I use the hemostats and tweezers so much more for general grasping that I am better off with duckbill pliers specifically for bending leads.
Also a stand for holding PCBs while you solder. I use panavise.
A crimper might be useful too. I like Paladin Tools Crimpall 8000 and the Engineer PA-09 might be better. Gotta know what crimps you want to use ahead of time though when picking a crimping tool.
Then there's consumable supplies like solder, copper braid, flux, flux cleaner and their associated pump dispensers or needle dispensers.
You may want a fume extractor.
Also, you'll want a resistor and capacitor kit. I use SMD so I have kits of those.
Are you planning to stay through-hole the entire time? Because many components now are SMD. There does exist SMD protoboards like from BusBoard. I use their 50x50 mil grid since it is able to accomodate most SMD discretes and dual-row ICs with a pin spacing of 1.27mm and larger as well as SOT components, and surface mount versions of 0.100" headers. I use them with solderable magnet wire so I don't have to worry about shorts mid-wire and can solder straight through the insulation rather than stripping every single end. But note, that you will want a fume extractor for this because the insulation on solderable magnet wire is nylon and polyurethane and you do not want to breathe in the dicyanate-something fumes it creates.