Your electrician could add a SquareD sub panel that would have the four SquareD AFCI breakers, fed from the GE panel with a standard two pole breaker.
AFCI breakers can be sensitive to certain loads. I've experienced problems with florescent lighting, power tools, and vacuum cleaners tripping the breaker.
No, Code says nowhere that a receptacle-type AFCI or GFCI is required; breaker-type GFCIs and AFCIs are also usable whenever AFCI or GFCI protection is called for by the NEC or otherwise desirable. In fact, circuit breaker manufacturers now offer a device that's both a GFCI and a CAFCI in the same package -- look for a DFCI (Dual-Function Circuit Interruptor) breaker.
As to your clarified question (cites from the 2014 NEC):
The refrigerator receptacle and the dedicated microwave receptacle do not require GFCI protection, as those receptacles are not installed to serve the kitchen countertop surfaces, and likely are more than 6' from the edge of your kitchen sink as well.
The DW circuit, however, does require a GFCI, even though it is hardwired, as per 210.8(D):
(D) Kitchen Dishwasher Branch Circuit. GFCI protection shall be
provided for outlets that supply dishwashers installed in dwelling unit
locations.
Note the word "outlets" in this passage, vs. the use of the term "receptacles" in 210.8(A) -- in Code parlance, an "outlet" is a place where power is tapped from a circuit to serve a utilization device, whether it be a hardwired device, a luminaire, or a cord-and-plug connected device, while a "receptacle" is what you plug cords into.
The disposal does not require GFCI protection either, unless its receptacle is within six feet of the top inside edge of the sink bowl "as the cord flies". (In other words, the receptacle, while not covered by 210.8(A) point 6, may fall under 210.8(A) point 7.)
Best Answer
Yes, you need AFCI protection
As of the 2017 NEC, AFCI protection has been extended to all 15 and 20A, 120V branch circuit outlets in all dwelling unit locations. This includes dedicated appliances such as furnaces and dishwashers, and even smoke detector circuits. The only exception present is for a fire alarm control panel for a protected-premises fire alarm system (i.e. with separate detectors, "brain box"/fire alarm control panel, and sounders) under NFPA 72.