Pilot reported entering TFR without a clearance.

Narrative

Prepped for a .5 hour VFR flight between ZZZ and ZZZ1. Had just drove the same route and was familiar with weather. Powered up aircraft and checked AWOS; then checked Garmin Pilot on iPad for any NOTAMs. The only NOTAM reflected for ZZZ was MISC for Radio Altimeter and N/A to my flight.Departed ZZZ and immediately rec'd call on Unicom that I was busting a TFR. Immediately contacted ATC and explained that I was inadvertently inside the TFR on a direct course to leave the TFR. ATC assigned a discrete code and requested I contact them upon arrival at ZZZ1.The TFR never appeared on my iPad. It did appear on my Garmin 760 after several minutes of flight. I can only assume there is lag with ADSB data. Arrived ZZZ1 and contacted ATC to provide information on my flight. I then took screenshots of Garmin Pilot on my iPad. The TFR did not appear as graphic; nor was it listed under NOTAM tab for ZZZ. I then opened Garmin Pilot on my iPhone to compare. The iPhone version did show the TFR; both graphically and under the NOTAM tab. I took screenshots of these displays as well.I reported this issue to Garmin and have asked how this could happen (user error; system error; version issue). Am awaiting a reply.