system
Given the following post, respond as if you're commenting on Reddit:
human
How does one move their lab from one university to another when taking a new TT position?

Let's say you've been a tenure-track (or maybe even tenured) professor with a lab at one university, and you've been offered a position at a new university.  What are you typically allowed to take with you to the new university, and what do you have to leave behind?  

I'm thinking of more portable things like computer equipment, grants, students, incomplete research data, incomplete papers, or related paperwork--as opposed to, say, heavy lab equipment.  Obviously this may be different by field of study.
gpt
This is negotiated as part of the offer and bridge funding with the new school.

Generally (in life sciences):  

- positions and space for all students and staff in your group who want to come with you will be provided (must be negotiated with the new institution, but this is expected). Matching existing fee waivers or institutional funding of student support must also be discussed, but would not be unreasonable 
- all data generated in your lab remains in your lab. If this is collaboratively generated data, it remains collaboratively "owned" 
- all papers that you are working on are yours, they come with you. It is usually expected that you will include both institutions in your affiliations if the work straddles your time in each.
- patents filed through your institution remain the property of your institution, though you remain the named inventor and can continue to receive royalties if licensed.
- laptop computers containing research typically come with you, this may vary.
- any scientific equipment paid for in full from your grant budgets including institutional funding such as recruitment or bridge allowances will come with you (benchtop centrifuges, PCR machines, flasks, etc)
- lab samples generated during your research, including live animals and human data come with you, providing any applicable MTAs and IRB requirements can be secured or updated.
- Officially, except for "investigator awards" (K-awards, studentships), any federal or external grants that you are named a PI or co-I are the property of your institution. However, unless you are leaving with very bad blood, they will typically move with the investigator. State-level or institutional-level funding may disappear or phase out, these will depend on the specific awards.