My post number 66 in this thread shows the op amps I used and their spec sheet. You have to compare the details of the spec sheets of different chip makers to make an informed decision. But that is marked as (designed for) "high performance audio amplifier" And the referenced chips I used are through-hole. They could be soldered direct to the board, but I chose to put the sockets in. That doesn't have to happen. If the chips you decide on are SMDs then you will need an SMD to through hole adapter for them. Personally, I don't like SMD as they can be difficult to work with, but I have worked with the successfully on the Wyn Palmer designs.
But I would say the "worst" 4562 will be significantly better than the "best" 2043 due to so much evolution in between them.
I don't have the list of what specific zeners I bought but they are sold by voltage. I ended up with +/- 16V at the chip socket (as stated above) in my case, and it could be a bit lower still. Again, check the ratings of the specific chips you plan to use and adjust the power supply to make it happy.
I feel like an EE right now trying to explain this, but (first of all, I'm not an EE), if it seems too daunting, perhaps step back and having a qualified repair center do the upgrades for you is the right answer.