Clauser, why do you want to prime the oil after a change? Under normal circumstances, such as warming the engine before change and then firing it back up right after a change, one should be safe with a normal starting procedure. Is there some other consideration?
For a vehicle that may sit for several days or weeks before startup, one may want to remove sparkplugs, short out the coil wire to ground and spin engine with starter for several seconds until oil pressure is obtained. Otherwise, you may be asking for more hassle than benefit.
Of course, you may want to fill the new filter with oil before installing if possible.