Of course. I was hoping a next gen reactor of some sort palatable to the US political climate to replace the old ones.
I certainly hope they run every operating reactor until its end of life before replacing, as long as there are any fossil power plants left. When the last fossil power plant has been shut down, older nukes without fully passive safety mechanisms should be replaced (obviously, plants that develop problems affecting safety must be repaired or shut down).
(I don't like some aspects about nuclear energy, but I still think next gen reactors are an essential transitional building block to reduce climate risk in the short term.)
what do you think are the factors limiting the speed to develop and deploy these?
It depends which version of "next gen" you're aiming for. My opinion is that e.g. AP1000 and ESBWR are more than safe enough. Compared to the fossil alternatives, even gen II reactors like those that blew up at Fukushima are safer.
AP1000 and ESBWR are both capable of cooling themselves completely without any off-site power for three days, even if the turbines have stopped and all backup power is lost. After three days, all you have to do is bring a firehose to the external unpressurized water reservoir and dump a few tons of ordinary drinking water in there. This works by depressurizing the pressure vessel to the primary containment. Steam will then condense against the inside of the primary containment and flow back onto the core. The outside of the containment is kept wet by letting ordinary water run down on the outside, and upwards air flow along the wet outside cools it. Primary coolant is continually flowing without pumps due to conversion to steam, condensation and gravity. This completely solves all remaining safety issues.
They're already building AP1000 reactors, and ESBWR is as far as I know in the final stages of approval.
I only consider fast reactors to be true "next gen" fission reactors, because they solve the waste and uranium supply problems too. There are many proposals and some prototypes of fast reactors, but the most comprehensive and elegant solution, and also one of the most extensively and successfully tested ones, is the IFR developed at Argonne. Such a reactor is ready for building, but the reactor alone does not constitute a complete solution to those two problems. The recycling facility is also needed, and this has never been tested beyond the prototype stage. Nothing indicates that it would not work, the processes functioned as expected in the prototype facility, but a full scale demonstration plant should be built before one can say that the problem is solved. This has been estimated to take up to ten years. Technically, nothing prevents us from starting to build the reactors right away, they are both safer and more fuel efficient than AP1000 and ESBWR by themselves, but the White House doesn't want to hear about fast fission at all.
The problem with switching to fast reactors is that they require a much larger inventory of fissile material. Much of this can be taken from spent nuclear fuel, but then you need the reprocessing plant (one of these can serve many reactors). Otherwise you have to get the plutonium or U-235 from somewhere, either by breeding in fast reactors, which also requires reprocessing, or by enrichment. So we should get started breeding and recycling before we've used up all the U-235 for thermal reactors.
But provided we get started building the demo recycling facility soon, there should be no problems. A switch from fossil to nuclear power has been done several times already, France is the prime example, but other good examples are Sweden and Switzerland. A complete switch has historically taken about 20 years, with significant improvement after only 10 years. France designed and built their own reactors and reprocessing plants from scratch in this time frame. In contrast, Germany has spent incredible amounts of money building windmills and solar for 20 years or so, and they're nowhere near a complete switch. Denmark is in the same situation.