Ah, the predictable "But Chernobyl and Fukushima prove it's dangerous".
Bear in mind that Chernobyl never met even the most basic safety requirements for western nuclear installation - not even the most lax ones. Basically it was an inherently poor design, being run by people who didn't know what they were doing and performing experiments with the safeties off.
Also, don't take the fact that the surrounding villages are abandoned. If you had the option of leaving your nice new, comfortable, flat and going back to a run down soviet era cesspit - I think you might decide that the nice new flat was better !
Fukushima, despite the press hysteria, resolutely failed to blow up. Note there was no nuclear explosion - the much reported on nuclear explosions were in fact hydrogen.
And while people still harp on about the exclusion zones, isn't it funny how we never seem to hear about the other problems - the heavily contaminated land from oil, chemicals, sewage, rotting fauna, and god knows what - caused by the tsunami. Also funny how people seem to forget the 20,000 people who died and focus on the (IIRC) 2 or 3 that died in industrial accidents that happened to be at at a nuclear power plant.
Now, before getting all hysterical about the dangers, just lets put it in perspective.
If you're going to criticise nuclear as being dangerous, then please give a total for deaths from civil nuclear operations ? You can include the whole world, and all causes if you want - I'll even let you include the non-nuclear related ones from Fukushima. You can't cheat and include the counts from Hiroshima and Nagasaki !
Now, how many people die on our roads every year ? Last I heard it's in the order of 3k/year for the UK alone.
How many die from the effects of fossil fuel being used ? Quite a lot I believe. How many die from the effects of hydro - that nice safe renewable energy supply ? (look it up, you might be surprised).
Now look up the contribution to energy supplies from nuclear - and I think you'll find that statistically it's quite safe.
Put aside the conditioning from years of tabloid "Oh no, it's NUCULAR" followed by photos of a mushroom could from military tests. Focus on actual facts and you might find it's not half as bad as you claim.
Now, as to when it'll run out ? Well bear in mind that if we didn't keep treating good fuel as waste and insist of getting rid of it at great expense, we'd have enough to supply the UK's lecky needs for (I believe) a few centuries. That's not from what's in the ground, that's just from what's in store awaiting expensive "disposal". It's the equivalent to getting crude oil out of the ground, extracting the lamp oil, and treating the rest as toxic waste !
And of course, cost is bound to come into it. Bear in mind that at present the go ahead on new plants is stalled on the level of price guarantee. I believe the figure being talked about is around £95/MWHr - or 9.5p/unit. Preposterous isn't it to pay so much for guaranteed, low carbon, clean*, lecky ? So if 9.5p/unit is preposterous, why are we guaranteeing something in excess of 30p/unit to the operators of unreliable windfarms that cannot under any circumstances guarantee to provide a meaningful contribution to meeting maximum demand ? If it's bad to guarantee a minimum return to one operator - then it should be bad to guarantee it to any. I've yet to hear any rational explanation - they all seem to come down to "Nuclear is bad, therefore subsidies for nuclear are bad".
And before I put away the soap box, on the subject of solar power.
There are a number of processes that will produce hydrocarbons of some sort from lecky. Given "free" lecky from solar power somewhere where it's reliably sunny (ie no the UK), then it makes sense to do this. One process I know of will take water+CO2+lecky and produce methanol. Methanol is conveniently a liquid at convenient temperatures (unlike hydrogen) and without pressurisation (unlike hydrogen) - it's therefore easy to store and transport as liquid with existing infrastructure (unlike hydrogen). It can be stored and distributed without any expensive new infrastructure (unlike hydrogen), has a high energy content (unlike hydrogen), can be dispensed with existing infrastructure (unlike hydrogen), and used in existing power plants (eg petrol engines) with minimal mods (unlike hydrogen). So it would be easy to (for example) put up large arrays in sunny places (Africa, parts of the US), and transport the easy to transport liquid fuel to where it's needed. The CO2 produced at point of use will find it's own way back. And if you want, it can be used as a feedstock to make plastics etc which could then be carbon negative !
So of course we have an obsession with hydrogen which as a mobile fuel source is second only to lecky in the uselessness stakes.