You don't go for the best ship and use it for everything. Instead, you choose the most appropriate ship for the task in hand. The Cutter is good for cargo and mining. The Corvette is good for battle, and the Anaconda is good for travelling. There are always smaller ships that can be more enjoyable to use for whatever task you want.
This sums it up pretty perfectly.
Daily use ? None of them. Instead I use whatever serves me best for the task at hand.
Corvette does very well in assymetric combat situations. I use it mainly for bounty hunting and assassinations. It can tank multiple opponents very well, while it's fighter distracts at least one opponent, and you pick them apart one by one. It has enough internals to allow a size 5 Guardian FSD booster, so it can even travel pretty well. I actually stopped using it in combat zones, due to it's speed and the relative uselessness of the fighter there.
The Cutter is the best freighter in the game. Fast, incredibly tanky, well armed. Main use is cargo missions, where multiple mission generated Anacondas want to get shot down. I do not use it for standard hauling most of the time, since the maneuverability can get onto your nerves after a few trade runs.
The Anaconda is the most versatile. Mine has been many things. In it's early days it was a freighter. Later on it was my main warship. After the Corvette took that spot, I made the Conda a miner. After the T10 entered the scene I've remade the Conda into a lightweight and long range repair and refuel toolbox. It's the one role no other large ship can really fill, and which the Conda shouldn't be able to fill as well, but can, because of it's fairy-light hull.
The T10 is my surface miner. Excellent visibility, good thrusters, enough cargo space and so many hardpoints that you can have all the mining tools and still plenty of guns for anti-pirate defense. The Conda did that job well too, but the T10 does it better.
The T9 is my everyday hauler. Nearly as much cargo as the Cutter, far less annoying to fly though slower. Well enough armed to deal with one regular Elite pirate per run. It's set up as missile boat. No distributor draw on missiles means I can fight with 4 pips sys, 2 pips engines and 0 pips weapons. Ammo is pretty much gone after one fight, but so is the pirate.
The Beluga finally is set up as mass VIP tour bus. I can accomodate up to 4 groups of luxury passengers up to 8 people and up to 3 groups of business passengers up to 3 people in a single run. 5 Packhounds and a fighter assure that I can fend off mission NPCs. The maneuverability of the ship is downright silly. Long as it is and fast as it pitches the pilot should regularly blackout or redout at maximum pitch rate, especially since he sits at one far end and not on a center bridge.
No other large ship is worth mentioning, since all the rest should be medium considering their stats. But ship manufacturers were too dumb to design them in a way that fits onto a medium pad.
If I could keep only one ship though it would have to be Python or Krait II. Those two are the most versatile of all ships. They have more right to be actually qualified as large ships than an Imperial Clipper or Orca will ever have, but designers were smart, and they fit the medium pad.