Negative edge - Learn it. Negative edge means making the button press recognized by not actually pressing the button, but releasing it. Let's say you want to two-in-one Ryu's Shinkuu Hadoken from his crouching FP. When you press FP, hold it down and quickly do 2 qcf motions, and then release. When you release it, it'll activate your super. If you try to be too fast with pressing FP, releasing (like normally pressing a button), and then trying to do 2 qcf motions you're just going to get your first qcf motion when you release the punch so it'll just be a regular hadoken. This may seem a little weird to explain, but when you're playing you'll realize what I'm talking about.
Another way to do it is like the old Super Turbo days, when in order to cancel a normal into a super you have to buffer the first part of the super motion. So you would do it like this:
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Note, you can negative edge the HP at the end instead of doing the LP. Normally I just hold down HP and then press LP (I seem to have a better success rate). Just note that motions are very strict for doing it the Super Turbo way, so when you're doing the motion quickly you have to be sure you're holding down when you press punch and then complete the motion for the super, so that way you're crouch punching to cancel off of it.
In all honesty though, there's no reason to do it the old way unless you're playing Super Turbo. I just stick with negative edging stuff. In one of our vids I ran under one of your jumping attacks using Ken and did a c.mk and negative edged it into his Shippu-Jinrai-Kyaku. Two-in-ones are much easier to land.
There's some good links that can be had with normals. I almost always go for the c.lp, c.lk, c.mk normal 3 chain. You can follow it up and cancel the last hit with a special or mix up with throwing them instead of following up.
Also, another thing about your K Groove - Don't waste supers with it. When you're raged you can do a lot more damage than a super because you have a 35% damage boost on your attacks. If you go on the all-out offensive and land big blows you can do more damage than the super itself. The only time I really do a super in K is when it's verified off of something else, or it's right at the end and I can do something like c.mk xx Shinkuu Hadoken for tick damage.