Well Frank, you have a rather unique ice rod- on the long side (40 inches I'm guessing) with plenty of backbone and somewhat of a soft tip. I plan to make one someday since you can't buy em like that from what I see.

What they sell now are more "specialty" rods, some for pan fish and others for walleye and then the bigger ones for pike- which are generally too stiff for jigging walleye. I just went thru my rods. I bought most of them at Gander Mtn when they go on sale for 50% off late in the season. I'd say the "best" all around is called a 28" Professional "Ultra-Lite" Gander brand graphite, 5 guides. The rod diameter is rather thin at the tip (.050") but about .180” dia at the handle. Has a good "feel" for jigging and plenty of backbone and a “slow” flex or action (most of the rod bends- not just the upper tip section). I'd say to pass on all the light looking rods- some of them have rod tips in the .030" diameter range- no good for LOTWs in my opinion unless you are a true finesse
Fisherman and need the super light tip for tough conditions. Most will have rod diameters around .170" or less at the handle; one like that with a .050” tip is OK. If you have the bucks, name brand rods are always a good/better investment.

It pays to get a decent reel. There are a lot of good name brand ones out there. The last ones I got were also Gander brand and had 6 ball bearings and are still in good shape. Not the best reel you will find but not bad. If you have the money, go for a good name brand reel. The cheaper ones are no good after one trip. Try to get 3 rods with a little different action and identical reels if possible. I'd go for the ones with extra spools too. That would be a perfect set-up for LOTWs, 3 rods, 6 spools and 3 reels the same- so you can reuse the parts if one breaks. That would be my advice. If you have the money, more equipment is always a good idea since things tend to break more while ice fishing.

Looking at my rods, some say med-heavy action but have less backbone than the one that says "ultra-lite", so you need to bend them with your hands to test the power and not go by what they say on the rod. Generally, they have lite power but they do vary from rod to rod. You want a "slow" action as apposed to a "fast" action where just the tip is doing most of the bending. Just my opinion; I'm sure everyone may argue what's best.

Get good 3lb braded ICE line or 2lb during the day light and maybe 4lb for evenings. Mono just doesn't cut it outside the fish house since it freezes “straight” and when you wind it on the spool and then open the bail, it wants to all come off at one time- built in spring action but what a mess that you will constantly fight till it gets so messed up you are done with that rig. If you are always in a heated fish house, I’m sure certain monos are great. It really comes down to personal preference and what you are used to and have confidence in.