DankPCMasterRace

Yeah but my advice still applies even when youre buying current gen hardwares. Things can go out of stock, increase or decrease in price and even discontinued inbetween now and September. But sure, here's a provisional build for right now. But again, those caveats HEAVILY applies.
 
PCPartPicker Part List
CPU: Intel Core i7-12700K 3.6 GHz 12-Core Processor  (€320.97 @ Galaxus) 
CPU Cooler: Deepcool AG620 67.88 CFM CPU Cooler  (€61.98 @ Alternate) 
Motherboard: ASRock B660M Pro RS Micro ATX LGA1700 Motherboard  (€119.31 @ Mindfactory) 
Memory: Kingston FURY Beast 32 GB (2 x 16 GB) DDR4-3200 CL16 Memory  (€64.89 @ Alternate) 
Storage: Samsung 970 Evo Plus 2 TB M.2-2280 PCIe 3.0 X4 NVME Solid State Drive  (€114.89 @ ARLT) 
Video Card: Zotac GAMING Trinity GeForce RTX 4080 16 GB Video Card  (€1199.00 @ Galaxus) 
Case: Deepcool CC560 ATX Mid Tower Case  (€57.90 @ Alza) 
Power Supply: Deepcool PM850D 850 W 80+ Gold Certified ATX Power Supply  (€96.98 @ Alternate) 
Total: €2035.92
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2023-05-05 16:09 CEST+0200

dont get a 4000 series card in that budget i would get either a 6800xt or a 7900xt depending on where you want to spend ur money

Cryorig h7
 
Hyper 212 
 
Dark rock 3
 
?

Your OS should transfer just fine.
I would say to switch the H70 out for a H100 or 110 if you can fit it in your case.

Good, from what I've seen a 110 will be able to let your chip hit its stability limit before getting close to the heat limit so you should be good to overclocking to your hearts content