I've had a set of LiFePO4 cells in my electric motorcycle for several years now, and am about to swap them out for new cells, as they have lost a fair bit of capacity. The problem I've found is that all lithium chemistry cells degrade with age to some degree, with the older LiFEPO4 chemistry cells losing a 2% - 3% percent or more per calendar year of useful capacity. The majority of cell development investment has been in different lithium chemistries, much of it coming from the Tesla/Panasonic partnership, I believe. The cycle life of LiFePO4 was claimed to be very good when I bought them, but it is extremely dependent on depth of discharge for each cycle. Running the cells down to 80% SOC gives around 1000 to 2000 cycles, whereas only running them down to 50% SOC increases this to well over 10,000 cycles, for example. In practice, ten years is about the maximum usable life of LiFePO4 I reckon, when combining the loss of capacity from age and the loss of capacity from cycling. The cells in my motorcycle have managed a bit over 7 years, and are now at around 60% of their original capacity. I'm not replacing them with LiFePO4, mainly because of the impact of the additional weight and size, but also because LiCoO2 cells are now safer than they were and have a longer calendar life, and it seems that calendar life is at least as significant as cycle life in this application. When managed carefully, with attention paid to maintaining SOC between about 30% and 95% all the time, then the newer LiCoO2 cells have a cycle life that is as good as LiFePO4, plus they have a calendar life that's around 50% longer. I've a set of older LiCoO2 cells in an electric bicycle that are also around 7 years old, and they are still at around 90% capacity (but they haven't been cycled that much, maybe 600 to 800 shallow cycles).
NiFe cell efficiency depends very much on the usage pattern, but I used them for around 20 years or so, running high speed cameras. In practice they managed around 80% to 85% when managed properly, and that was with cells that were manufactured before I was born - they were around 30 years old when we rescued them from some old ground power units. They were still at full capacity when we stopped using them, and by then they were over 50 years old. I'm not convinced that round-trip efficiency is that big an issue for home storage, as the losses only really kick in when the cells are given a full charge to 100% SOC. If charged to 95% SOC the round trip efficiency is as good as lead acid, but charging them in this way does mean using cell-level battery management, as is the case for all lithium chemistry cells, if they are to have a long life. The main problems with NiFe is the relatively large voltage change between fully charged and fully discharged, which isn't really an issue with modern control systems, and the strong alkali electrolyte, which can be a bit unpleasant to work with.