Help to choose fpga development kit with pci express

1. I have great idea how to implement my algorithm in terms of primitive units like logic gates, and shift registers. This is not implementable in generic cpu since it mean highly-parallel analyzis.

2. I think that pcie is the simpliest communication between device and application that will feed data and gather result. Yes, 10gbit ethernet is possible, but this device should work inside pc, not as separate device.

3. I want to program device using vhdl or verilog, since idea in terms of primitive logic.

4. I have no experience at all :(. But I have strong understanding how to write driver for Linux.

5. I do not understand that point. Partial simulation is appropriate as I think.

Yes, I do not need memory on board. Only one thing required - ability to re-program fpga on that board online. I mean that it should be possible to completely erase and "re-flash" fpga chip (or its part) without external device or powering board off. This is required since set of the gates is changed depending on some data, and cannot be prepared once.

It will be nice, if someone say price range which I can consider for that task.

Could you provide list of web links (or names of boards) to choose ?