Technology defines tactics.
The first thing you’ve got to decide is how your ships move around. Are we talking about chemical rockets, ion rockets, fusion rockets, or antimatter rockets? If you’re using rockets, even ones powered by total conversion, your ship is limited to a specific amount of delta-v. Increasing the amount of fuel doesn’t do much to help, since the vast majority of that extra fuel is just going to be used up moving around the extra fuel.
You can calculate how energetic your reaction is, and how much of the ship will be fuel, and therefore calculate the total delta-v of the ship. Even with total conversion, with reaction mass shooting out at 99% of the speed of light this is going to be a much smaller number than you might think. There’s no way to just turn on the engines and constant-boost across the solar system. Ships still have to pay attention to orbits, and a ship’s ability to maneuvar will typically be a small fraction of its total velocity. The crew can’t take accelerations of more than 9 gees for more than a few seconds, and 3 gees for a few hours. And all too soon you’re going to run out of reaction mass. Rockets pretty much have to be unarmored or you’re pissing fuel away.
Now, we can get around this with artificial gravity. With artificial gravity you can have ships accelerate with as many gees as they like and the crew is safe and they have unlimited delta-v. Now you can have ships roaring across the solar system in a few days, turning on a dime, etc etc. But first decide exactly how your anti-gravity works and then determine how your ships will use it.
And if you allow wormholes and spacewarps and such, all bets are off.
Next weapons. Without artificial gravity, you’ve got a few real-world choices. Rocket missiles are feasable, they can accelerate faster than a human can stand, and they don’t have to worry about coming back home. You want to burn your missile’s fuel as quickly as possible and coast most of the way, only leaving a bit of fuel for homing. Remember that the enemy ships can only maneuver a little bit compared to their total velocity…they can take small-scale evasive action, but can’t turn or run away or hide where they’re going to be. The missiles can be equipped with kinetic warheads…hitting even a BB at orbital speeds is going to hurt. Or HE, or cannister (a cloud of BBs), or nukes, or antimatter. No matter what, if a missile hits it’s gonna hurt, since your ship can’t be armored much or it won’t be able to move. A variation on rockets would be guns or rail guns, but they have the same idea…you launch at very high speeds with only a little reserve for maneuver, since by the laws of physics the enemy can’t be very far away from where you predict him to be, even with rockets blasting at 9 gees. Countermeasures could be computer-controlled machineguns or lasers, but hitting a kinetic weapon doesn’t kill it, it just kills the guidance, you still have to dodge it.
Or you could try beam weapons…lasers, microwave lasers, heck any point on the EM spectrum could be a laser. Or particle beam of who knows what…electrons, protons, or some exotic particles traveling at .999c. This means pumping as much energy into the ship as possible, hoping to cook it or burn delicate bits. You can’t have much armor, but mirroring is possible, so is chaff or dust or carbon nanofilments…in Traveller they had defensive sandcasters to foil lasers.
But the real weapon is your sensors…the first side to detect an enemy ship will almost certainly win. One shot, one dead or crippled ship. And a crippled ship is usually dead, since it probably won’t be able to return to a safe base with its remaining delta-v. And you can’t rescue most crippled ships, since a rescue vehicle would have to accelerate to a higher velocity than the cripple, catch up, decellerate to match velocities, transfer surviving crew (you can’t save the crippled ship, since that doubles the mass of the rescue vehicle, or halves the delta-v), then accelerate to put yourself in an orbit to reach a safe base. Even with total-conversion rockets this is very tricky if the other ship was moving at high velocity. And even if your first hit doesn’t kill the enemy ship, if you disable the enemy sensors then he’s blind and can’t return fire.
So your ship is studded with telescopes on all EM wavelengths, plus whatever exotic particle detectors you like, and stealthed as much as possible, although when you use your rockets you’re sending out a huge, “Here I am!” And if you use remote vehicles/probes, they have to communicate with you via EM…radio or laser or some such…those messages could be intercepted or jammed. And EM travels at c, so UAVs halfway across the solar system can’t be directly controlled in real-time.
And of course, you have to ask why ships are fighting. What do they hope to accomplish? Are you fighting for resources? What resources? Asteroids, planets, trade? It seems to me that the ability to destroy ships would vastly outstrip the ability to build and fuel ships. One side or the other is going to win pretty quickly. Of course that means warfare is going to be assymetric…once one side’s ships are knocked out they can go wherever they like, but what do they want? Since nuclear bombs aren’t going to be disinvented, and there are plenty of asteroids that can have their orbits changed to hit any planet or stationary base, anyone that can get into space can destroy any other country on earth, or all of earth, or any planet you care to name. What do you hope to accomplish after you’ve blasted the enemies ships to atoms? How do you stop him from dropping a dinosaur-killer on Earth even after he’s lost?