Definitely a desktop PC base unit, not a laptop. The latest Windows OS is a pain in terms of privacy, but there are several one-click freeware solutions that scamper though the Windows settings and turn off most of the tracking and intrusiveness. 

I would buy pre-built, but where you choose your config from a series of drop-down menus. In the UK that means either PCSpecialist or Overclockers for a super-duper gaming PC. If you may also want to run local LLM AIs (chatbots), then 128Gb of main motherboard memory would future-proof the PC somewhat, and as fast as you can get it. Otherwise 64Gb.

A little over $2000 should get you something with a fast/latest Intel CPU and a NVIDIA 12Gb graphics card in it. This will be more than enough. Also enough if you want to feed Poser renders to software that will enhance them as AI generative images (Invoke AI etc). Also good for videogames, as it's a gamer's card. If you choose a 'workstation' from your vendor, the NVIDIA cards are different (special workstation cards tuned for 3D work and video-editing etc, but maybe not so good for some games). 

You don't say what version of Poser you were using. If you intend to also use the now-free E-on Vue, sending Poser scenes to it, then Poser 11 also needs to be installed on the PC. P11 does not support 40-series NVIDIA cards, but you only need it for the SDK that lets Vue import the scene. 11 will co-exist happily with Poser 12 or 13. If you want to use paid-for scripts in P12/13, you can't install Windows 7 as your OS (it doesn't have the encryption modules).

In the UK for your budget, I can get this for $2,196 US from PCSpecialist. Probably less in the USA, since this is the inflated 'UK prices' in action.

CPU: Intel Core Ultra 5 10-Core Processor 225F (Up to 4.9GHz) 20MB Cache

MOTHERBOARD: ASUS PRIME Z890-P WIFI (LGA1851, DDR5, M.2 PCIe 5.0, Wi-Fi 7)

RAM: 64GB PCS PRO DDR5 4800MHz CL40 (2 x 32GB)

GRAPHICS CARD: 12GB NVIDIA GEFORCE RTX 5070

Not sure if Poser 13 supports the brand-new NVIDIA 50xx series cards yet, though. Check that, and get a 4070 Ti if not.

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Learn the Secrets of Poser 11 and Line-art Filters.