First, let's deal with a misperception. Many think that because the 262 is a jet that it's a high-altitude fighter, it isn't. It does cruise exceptionally well at altitude because your ground speed increases and fuel burn drops significantly so it's great for CAP and transit to the combat zone but climb, turn rates and acceleration drop quickly at higher altitudes, it's a true lead sled above 20k. Use high altitude for transit to the combat area but the plane fights best around 10k. From that altitude with speed you can outzoom anything but a 163 and have altitude to dive and accelerate away from any threats.
The "magic" number in a 262 is 300mph. 300mph gives you your best climb rate, good turn rate and the ability to accelerate to 450 or more very quickly by lowering your nose just a bit. If you drop much below that your acceleration rate is much lower even if you point your nose straight down. To understand this you have to understand the difference between a jet and prop. Acceleration rates for props are best at slow speeds and, due to prop efficiency, the rate drops at higher speeds. Jets are the opposite because of ram air effect. The faster you go the more air is rammed into the intake and the more thrust is produced. Low speed means low ram and low thrust. (That's why modern jets have afterburners).
As for tactics, the old "sneak-up-low-on-an-unsuspecting-fighter's-six" is by far the easiest way to get kills in the 262. Although the 262 was intended to destroy bombers the AH version isn't very good at it because it's much too delicate. Single ping kills of 262's are common as are PW's and taking out an engine. If you're going to do it then I recommend climbing above and in front of the bomber formation, dive straight down, take your shot, and then pull out ahead of the bombers and climb back up for another attack. At high altitude this is very difficult because of the large turn radius and poor climb rate so it can take a while to set up three kills. Mid to low altitude is different and you can knock off the whole formation quickly. Just be sure to extend outside of at least 1k yds when you start your climb back up otherwise that lone 50cal round will take off a wing.
Against fighters in a 1v1 scenario, I use the same extension pitchback fight used in the F-14. Make a few passes while avoiding hos to keep him interested. After each pass extend out to about 3k (remember the 262's large turn radius, less than that and you will still be in the turn at the merge). The target will typically try to climb to get an altitude advantage and be able to dive during the merge. Once he's done that then turn back in nose-low to get under him and accelerate to 400-450mph. At about 2k start pulling up into him for a vertical merge, take it straight up pure vertical, and watch him. If he runs then immediately roll to put your lift vector on him, pop a notch or two of flaps and pull your nose right to him. Once you're over the top set one notch of flaps and go after him. If, instead of running, he follows you up then extend vertically until you judge that he's about to fall off (don't get below 100mph doing this, the airplane can "hang" and it'll be difficult to recover). Pop the flaps again and dive right down on him as he hangs there. Another fun fight is the climbing spiral. Offset to one side and merge in a climbing turn (preferably against his torque, right turn for most NME, left for Typhoon, Tempests) and continue the fight in a climbing spiral. Do not let your speed go below 300 doing this. He's almost guaranteed to follow you up while trying to pull lead which will put him inside of your turn and cause him to bleed lots E doing it. Once you can see he's too slow to get his nose up to you then pop the flaps, tighten your turn and roll in on him. If he doesn't go for lead (some smart guys will instead keep their speed up and wait for you to make a mistake) then you can just level your wings, put the nose down just a bit and motor away from him to set up another.
One last thing though. Don't get too focused on your attack. The 262 will always gather a crowd so you've always got to be on the lookout. There always seems to be some high-alt Pony entering the fight at the most inopportune time so be very judicious when putting yourself in a vulnerable position like pure vertical or below 300.
EDIT: I forgot to mention. The airplane will really accelerate nose down and you can easily rip your wings off so a general rule is "nose down, throttle off, nose up, throttle on." There are times when you can violate the rule to good effect but always remember this plane is different from the others so follow the rule until you get a good feel for speed in the plane.