Thanks to all who offered advice. I made the trip as follows…
Friday the 13th, went Cleveland to Teterboro (KCGF CXR PENNS RV [VOR DME or GPS A] KTEB) in VMC. Was nicely uneventful, except… At TEB the winds were 250@15G20. Naturally I expected they would be landing rwy 24 - wrong. They were landing rwy 19. Not a big deal, but I was reminded not to ASSume anything.
Used Atlantic Aviation. Being overly sensitive to having my 22 pushed and pulled around, I parked in the infield instead of the right-in-front ramp for my overnight stay. Was OK, 'cept security required that line-service drive me to/from the plane. Anyway, Atlantic was fine even though my 22 was the only piston plane in sight! They waived their service fee and their overnight fee since I got a fillup (39 gal), and they also arranged for a limo to/from Manhattan.
Departure on Saturday was fine. I only sat briefly behind one jet before release.
I would not hesitate to use this plan again when going to The City.