Consider i3-6100 + an h110 mobo, will cost you $160ish. The CPU performance is much higher, but the graphics performance is a bit less than the 7890k. It is, however, the opposite of a dead platform (FM2+ is getting on in years whereas the skylake is not even a year old), and supports a bunch of newer tech.
If you absolutely need a CPU now because your old one is giving you problems, I see two options for you:
1) Get the A10-7890k or 6800K-- $150ish
If you go this route, you will spend the least and will ahve a system roughly equivalent to consoles in gaming eprformance. However, your next upgrade will basically be an entire system upgrade since everything will be pretty out of date, you'll need new RAM, CPU, Mobo, and a GPU if you can afford it.
2) Get i3-6100, Mobo, and RAM--$200ish
If you go this route, your next upgrade will be whichever part is lagging behind. If you feel your GPU isn't enough, you can go for a new one. Need a better CPU, options exist to slot into the same mobo. However, your current system spec will be slightly below console gaming performance due to the GPU on the i3-6100 not being as good as the one on the A10 7890k (It is still noticeably better graphics than the a10 5800k and comparable to 6800k).
Personally, I would go route 2, since it is an upgrade both in cpu and gpu performance and has better upgrade options for the future. Overall, those $200 will go much farther than they would in option 1.
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