Integrated devices
Some simulator products can provide useful practice or display functions without a separate gaming PC. That can simplify a starter room, although optional third-party simulation software may change the requirement.
The launch monitor does not determine the whole PC requirement — the simulation software and the resolution you want to drive are just as important. Check the software you intend to run before buying a computer.
Choose your launch monitor and simulation software first, then buy to the software publisher's current specification. Requirements change, and a computer that is adequate for basic practice may not be the right choice for detailed 1080p or 4K simulation.
Some simulator products can provide useful practice or display functions without a separate gaming PC. That can simplify a starter room, although optional third-party simulation software may change the requirement.
Higher rendering resolution places more demand on graphics hardware. There is little value paying for a 4K projector and then discovering the chosen PC/software combination cannot comfortably support the experience you expected.
Include the PC, cables, network connection, projector/display and software subscriptions in the budget. A launch-monitor headline price is not the finished simulator cost.