It usually starts OK in the morning, but once its warmed up, it has a lot of problems continuing to start. Sometimes it starts, revs to idle, then dies again. After about ten minutes and a couple of tries, it starts right up and drives away fine. Any thoughts? We know we can't replace the fuel filter, should we try injector cleaner? New fuel pump?

Replace the Ignition Control Module (ICM) and coil:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-4.html#post265896