Going from an i5-3470 to an i3-6100 sounds like a downgrade to me: the IPC gains between Ivy Bridge and Skylake are quite small, you lose two physical cores and half the L3 cache.
I'm going to be keeping my i5-3470 for a few more years and by the time I actually need to upgrade, I will hopefully be able to get a 4C8T CPU with better IPC for under $200 thanks to AMD's Zen.