Never used one, but remember being amazed when I first saw one ... must have been in the late '80s ... very space age!

Power - if your oven is electric, can it piggyback off that cable? (I've no idea, I'm not an electrician!)

From what I've absorbed from conversations over the years :

1) They can become scratched, like a skating rink, although I guess that's less of a problem nowadays.

2) If you catch a heavy pan on the corner, they can break! (Can you get them with buffers?)

Some good tips here : 6 things I wish I'd known before I bought an induction hob

The oven is on the other side of the kitchen to the hob.

Thanks for the link.

I had one in my old place last year. I can’t comment about the wiring as it was fitted as part of a new kitchen install but I’m pretty sure it was hard wired. 

The heat control was amazing and if you turned down a boiling pan of water it would cool almost instantly, far quicker than a standard hob (and quicker than the gas one in my new place) and it would boil a pan of water quicker than my kettle. The only negatives we found were that the touch control controls were a bit of a faff sometimes and we broke 2 (it was a very expensive 3 months) My girlfriend opened a cupboard door and a jar of pickled onions dropped from the cupboard and landed on the corner of the hob. I had that one replaced and my daughter was opening a cupboard on the other side and dropped a small plate on the hob so I had to replace that one too. After that I bought a large ceramic hob cover from Amazon, as that was cheaper than replacing the hob every few months.

Posted by: @boink

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The oven is on the other side of the kitchen to the hob.

But still easier than running a new cable from your mains box?