Cheapest entry point would be zero.
You don't need the hardware to learn. Download either Xilinx Vivado or Quartus, for weather you prefer Xilinx or Altera (they are roughly the same thing, a set of tools to write FPGA schematics, both Vivado and Quartus can work for free, you don't need any payed licenses to learn) and
start doing your own schematics.
Remember, for a FPGA
you do not write a program, you do a
schematic inside the FPGA!!!
Again, VHDL or Verilog is not to write programs, it's to write SHCEMATIC DIAGRAMS for digital circuits.
Not "software", schematics.
In FPGA you first simulate (simulators included), then at last you upload the bitstream containing the schematics you just designed (remember, a schematic, NOT a program) in the FPGA. And that's it. Simulation is key in FPGA design.
I know you will insist to see some LED turning on, and asking for the cheapest FPGA board, $15 is OK if you are from the rest of the world, $5 (or less if you are from China), search EBAZ board on Aliexpress and buy one. for $15 you'll get a Zynq FPGA with 2 ARM cores inside and a few thousands of logic elements to play with. Can even run Linux. A few already bought that particular board, yet you don't need a board at all to learn FPGA.
https://www.eevblog.com/forum/fpga/ebaz4205-(zynq-7000-based-development-board)/