I used to have a 24V lawn mower which used SLA lead batteries. Inside the removable battery case were two standard 12 V 20 Ah SLA batteries. I replaced them with new deep cycle ones when they failed. This cost less than half the price of an OEM replacement battery, which itself was about half the cost of the mower originally. Standard size SLA/AGM batteries can be purchased quite easily. I think I bought mine on amzn! Just 3 or 4 years later, the batteries failed again. I then replaced the mower with one which runs from two 18V Lithium battery packs which are compatible with my power tools (drill, etc.), but higher capacity. This mower is more powerful and runs longer than the lead powered one could ever do. When I mulch and bag my maple tree leaves in the fall, this mower sucks them up, finely chops them, and pushes them deep into the bag. The old mower just choked; the very idea of mulching leaves was laughable. When I did my kitchen reno, I appreciated having a couple of high capacity packs for my tools. This mower and its lithium packs have been going strong for about 7 years with no sign of fading. My mower came with a trimmer ('weed whacker') which uses the same battery pack. It, too, is more powerful than the NiCd powered one I replaced, and the batteries are so much easier to maintain (true maintenance free unlike either Ni or Pb ones).
A more "permanent" and maintenance-free solution might be an AC powered electric mower. The most maintenance you might need is to patch up the extension cord after you run over it!
I would not recommend trying to do an AC-DC conversion for your existing mower. The startup current usually peaks quite high, so you would need a very oversized supply. It might be worth looking into LiFePO4 based batteries to replace the Pb ones. As long as they can handle the peak and sustained currents, it should work well. You should be able to find them in the same form factor as the original batteries inside the battery case. Consider how you need to charge these, as the mower OEM charger is not likely suitable.
Last note: with battery powered mowers, it is critically important to keep the blades sharp. Dull blades really cause drag on the motor, which drains the batteries much faster. If the blades can cleanly- and easily slice the grass, the mower will not only do a better job, but it will run much longer. I learned this the hard way. At one point I was convinced I needed to replace the batteries because I couldn't finish my yard, but after sharpening the blade, I easily >doubled the run time.