You sould expect no problems transporting your car stuff on a airline...
I just got done with stock nats in Utah.
We had to go though Salt lake city airport, its has the most advance security in the county. ( cus of the winter Olympic`s )
Flamables,( motor spray) sould not be carry on board. You sould also take out the baterry`s inside your radio or remove the transponder.
You can expect a inspection, like other`s said ,the X-ray of your car stuff will make-um look inside.
other wise its no big deal.
Now if your are thinking of transporting fireworks or have store fireworks inside your lugage ....
Bad , your stuff will not make the flight.....
They run a patch of material all over your stuff & you.
If they detect nitrate`s , you are gona be gone over & over untill they are done . This includes fertilizer`s, matches, ect...
As far as what`s the best suitcase.
Most use upright tote bags ... about $50 at wallmart
others use the bags desige for R/c stuff , trinity`s car bag,ect.
The plastic totes are great as well.
You want something with wheels, cus all that car stuff can be heavy .You don`t want to have to carry it around the airport.
Have fun !!!!