Small Transport; Low Wing; 2 Recip Eng
Flight Crew Private; Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 35; Flight Crew Total 4800; Flight Crew Type 530
Human-Machine Interface; Distraction; Confusion; Situational Awareness
ATC Issue All Types; Airspace Violation All Types; Deviation / Discrepancy - Procedural Clearance
Air Traffic Control Issued Advisory / Alert; Air Traffic Control Issued New Clearance; Flight Crew Exited Penetrated Airspace
Environment - Non Weather Related; Human Factors; Procedure
Picked up newly acquired aircraft at ZZZ1 [Airport]. Filed an IFR flight plan to ZZZ2 [Airport]. Prior to departure I tried the ZZZ Approach frequency on the ground to activate my flight plan. There was no response (probably no GCO). On departure I called ZZZ Approach to activate flight plan. ZZZ [Approach] advised they had no flight plan on file; I requested in-air filing. ZZZ [Approach] notified [me] they were understaffed due to COVID and couldn't help. Advised contact with ZZZ1 Approach. ZZZ1 Approach said they couldn't provide services and instructed me to remain clear of Class Bravo. I misread the new-to-me GPS and entered Class B airspace. I was monitoring XYX.Z; ZZZ1 [Approach] called; vectored me out of Class B and advised ATC phone number to call.There were several contributors to the incursion but ultimately it was avoidable by taking different action when my flight plan was not available - landing and re-filing. Contributing factors included (1) unavailable flight plan; (2) familiarity with the equipment on board this aircraft; and (3) pilot's expectation of receiving a clearance in unfamiliar airspace (95%+ flights are conducted under an IFR plan ).
GA pilot reported not being able to activate an IFR Flight plan due to ATC not having it on file.  An adjacent ATC facility could not provide help either.  Pilot also reported entering Class Bravo airspace unintentionally after misreading the aircraft's new GPS system.