I'm probably just going to parrot everyone else here, but I'll try to keep it brief.
Electric Springers/AEG
-Slower rate of fire depending on system. (Sometimes)
-More consistent because of mechanical nature. (Arguable.)
-Certain blasters (Stampede, Vulcan) are larger, heavier, and have less minimization potential because of the size.
-Certain blasters more complicated to modify. (Swarmfire is a notable exception to this.)
-Higher power requirements? (I think. Take me with a grain of salt)
-Limited availability of mechanical parts. (Wiring kits are easy to find, but gears are nearly impossible. This is a big one concerning the Stampede.)
Flywheels
-Can achieve very, very high rates of fire.
-Repeated shots will lower performance marginally because physics.
-Can achieve smaller sizes because of easily movable components. (Swarmpistol/Rapidpistol for example.)
-"Easier" to modify. Still requires special tools but overall the systems are much simpler compared to AEG setups.
-Readily available replacement parts, seems like the motor drought has passed.
-Sweet lord they can get loud.
That's everything I know for sure-ish.
Also whey I say "modify" I mean full rewire, new battery, ect. IMO, If you're gonna mod any of these blasters you might as well just go all the way instead of mucking around with WhateverFires and IMR stuff,
it just seems like half-solutions that aren't worth the money.
EDIT: Forgot to finish my post. Overall I'd say go with a flywheel, especially if it's your first mod. I'm not gonna take the time to mess with my stampede until I can get some better gears for it. Flywheels are really simple systems and have incredible potential for modification and customization. If you're dead set on a springer-style blaster then I'd say just cut the electric out of it and get an Elite Alpha Trooper or slap a pumpgrip on a Retaliator/Longshot. Would probably last longer and it's way easier to work with.