I drive it home with the Stereo firmly switched off, listen listen listen, get to know the Car.
Stick it straight on the lift.
All Oils, inc Engine Flush, All Filters, Gearbox Electonic Plug whilst doing Trans Oil and Filter.
Don't forget to reset the Service indicator in the Dash !!
New Serpentine Belt, check all Pulleys / inc Water Pump Bearings while Belt is off, if they are even slightly doubtful change Pulleys.
If the old belt is good, put it in the Trunk, one dark wet night you may need it
Take off Rear Discs, check and replace any Parking Brake parts or just adjust them >>>>>>> "Yeah Right"
, I haven't had one Park Brake yet that doesn't need the whole chebang overhauling upon my first visit in there
Full Check over everything as if it were going for annual UK MOT Test, (a very strict safety test if done correctly), and lets face it the examiner of the "Fresh MOT" that the seller just put on it prior to sale might well be the brother of the seller etc etc ................
Trust me, I've seen it all over my many years
Fix any issues from the full check.
Full SDS Code Read, Print and Reset, attend to any Current Codes, drive and enjoy for a few weeks, Full SDS Read to see what's come back, if any, then fix that
I usually spend at least a grand on most any car I buy.
Now enjoy the trouble free Car !!