OK you need to understand some very basics about opamps before you go crazy with swaps. First off is the package you are replacing (I assume it's DIP-8?). If the opamp you are thinking about isn't 8 pin DIP, it will be a much bigger hassle to swap.
Second, 4580 is a dual opamp. AD845 in the DIP-8 package is single,
OPA627 is single.
OPA2132 is dual.
Finally, superfast, wide bandwidth opamps can oscillate under the wrong conditions. If the VTB's circuitry isn't set up to deal with that, it's a potential problem.
Also you need to make sure you are swapping in a FET input opamp, which 2134 is (and the others mentioned above too, but double check). You don't want a BJT input opamp in the place of a FET input unless you really know the circuit and what you are doing. You can *usually* swap out a BJT input and replace with FET input on a mic input stage, but elsewhere in a circuit (especially in a mixer), the BJT opamps could be necessary to drive the required outputs.
Is it easy to swap opamps? Well, can you solder? Can you desolder without lifting traces? How robust is the VTB1's PCB? Are the holes plated-through? I don't know the answer to any of those questions, but I've swapped many opamps, even when I wasn't that experienced, and it isn't too difficult, but you should get some experience before you jump in. Find an obsolete PCI card with thru-hole components (an old modem should be good for that) and desolder it for fun.
I have swapped the x134 series into many units, always with little trouble and good results. I've used 2604 too, which chess mentioned. They are fairly similar parts, I think 2604 is a bit quieter and 2134 is lower distortion. Both are good, and much better than 4580.