Found this interesting about Germany moving equipment and people out of Turkey.
Of course there are other issues, such as working in Turkey. Jordan might be politically easier to operate out of.
Full operations from Jordan started October 9th btw, after the Tornados arrived five days earlier. The last German soldiers left Incirlik on September 27th; the last two Tornados left on July 31st.
The A310-MRTT tanker was transferred directly from Incirlik to Al-Asraq and began operations from there exactly 3 months earlier on July 9th; it is apparently somewhat more crucial to the mission overall for the international partners, having performed over 500 sorties since December 2015, while the Tornados - per aircraft - only pulled half as many (at the point of its transfer to Jordan it had delivered about 10,000 tons of fuel to allied aircraft).
The transfer occured differently for the A310 than for the rest: The ground support equipment for the A310 - due to time-sensitive scheduling, the A310 was supposed to (and did) resume operations two days later - was flown in using two SALIS An-124 flights, the maintenance crews were transferred on C-160 Transalls. Transferred equipment included two large airfield tanker trucks used to load up the A310 on the tarmac with its full fuel load in under 20 minutes.
The whole support gear for the Tornados meanwhile was booked for flights on the USAF C-17 taxi service (which is somewhat notorious in the Luftwaffe for its unreliable scheduling), which probably came out slightly cheaper than wasting An-124 flight hours on that.
Some support gear for Jordan - since it's not quite like Incirlik, which is like halfway a US Air Base - was flown in from Germany using another An-124 flight (with a mobile medical station) and multiple A400M flights throughout August.
Somewhat interestingly - for a recce mission - only one of the four Tornados stationed in Al-Asraq is from TaktLwG 51 (recce focus); the other three are from TaktLwG 33 (strategic and CAS strike focus), even if used for the same mission.