Dutch term (edited): installatie van de patiënt

Not entirely sure but this seems to be an option worth considering.

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Note added at 6 days (2017-05-01 16:42:18 GMT) Post-grading
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If the emphasis is on ensuring that the patient is comfortably positioned in his/her bed, then 'positioning' or 'making comfortable' (as proposed by Arie) are probably better options.

FWIW, here's a few references for 'settling (in)' that I didn't have time to dig up at the time of posting this answer.

In his work as an LNA, John draws blood, conducts tests, assists with settling patients in their rooms, getting vital signs and scribing for traumas that captures data a trauma center must report.
https://med.dartmouth-hitchcock.org/nursing/article/26584

An interview schedule was constructed to ensure that critical topics were covered, such as patient admission and settling in to the ward; carer relationship with staff; the ward environment; patients’ daily routines such as sleeping, meals, hygiene and activities; privacy and dignity; care and medical treatment; and discharge planning.
https://www.ncbi.nlm.nih.gov/books/NBK293770/

On arrival to the ward, you will be shown the facilities and told about the ward routine. A nurse will check your details and make you comfortable. There will be a trained nurse on duty who is responsible for your care. If you or your family have any questions, please do not hesitate to ask. Once settled in, a member of the ward team will come and introduce themselves and discuss what your needs are whilst on the ward.
http://www.gloshospitals.nhs.uk/en/Wards-and-Departments/Glo...