been happily playing in my chieftain lately and racked up plenty of credits to go for one of the big three but which one? I have the Fed and empire ranks so all three is an option. which is the most fun?
Here is my opinion based on owning a Corvette, 3 Anacondas, and a Cutter.
The Cutter excels at trading/haulage missions. You can do hauling in stytle, with very strong shields, decent weapons, and can't out run any NPC you can't fight. Some will say it can be a great combat ship, and I don't disagree. I just can't get that to work for me because of it's poor maneuverability. My trade Cutter has 29.8 ly jump range, unladen.
The Corvette is the most agile of the three - in both Supercruise and normal space - but has a horrid jump range. You can get a decent PVE combat build to around a 20 ly jump range. The Corvette looks really cool, inside and out. The module slots on the Corvette will let you make a more tanky, survivable build than an Anaconda - however, you can usually get the shields up so high on both it shouldn't matter for PVE - or allow you to carry more cargo, bigger fighter bay, etc. In short, the Corvette is really a side-grade from an Anaconda.
The Anaconda has an excellent jump range, and stripped down, has the highest jump range in the game. Whether or not this is your idea of a good exploration ship (not my cup of tea), there it is. The Anaconda still has a good jump range when outfitted for combat/multimission work. Mine has a jump range of 30-31 ly. Shield strength is 2300, just slightly below my Corvette's - (both are using G5 Reinforced C7 Biweaves, 3 G5 Heavy duty SBs, and 2 G5 Resistance Sbs). DPS on the Anaconda is higher than the Corvette, but mine isn't as tough once the shields go down. This is my main Anaconda. I have a second one that acts as a bulk passenger transport ship (for rescue ops from burning stations). I have third one kitted out for anti-Thargoid duty (still hasn't seen action, though).
I actually recommend getting all three eventually. They are all fun in different ways. For you first choice, I would go with either the Anaconda or the Cutter - depending on whether you want a multi-role or just focus on trading/hauling.
As far as cost, the Anaconda will be the cheapest to outfit. Corvette is in the middle (you can also swap many modules between the Anaconda and Corvette if strapped for cash). Cutter is the most expensive ship in the game.
One final tip - the Anaconda is the only ship in the game with a detailed damage model implemented. As your hull gets wrecked, it will visibly show damage - and reveal interior compartments, completely with flashing hazard lights - with metal curling up/bending out of shape, sparks flying, smoke, etc. Feel free to take a look how my Anaconda was wrecked after I did a "Lost in Space" style crash landing on a planet (hull down to 13%):
https://imgur.com/a/SovRz