One option for moving sideways is the classic draw stroke or T-Draw. This is a simpler version of the sculling draw but is probably easier to perform in a sea kayak than in a K1 but it’s worth experimenting with both.
The body and arm position is almost identical to the sculling draw: rotate your core towards the direction you’re moving. Your top hand holds the paddle so that it’s almost vertical, in front of your forehead and kept almost still. As with the sculling draw it is the lower arm/hand that does all the work.
To perform the draw, reach out with the lower arm so that the drive face of the blade is parallel to the kayak (facing you). Then simply pull with your lower hand towards you. When the blade is near the boat, you can slice it back out by cocking your lower wrist so that the paddle blade is perpendicular to the hull of the kayak. This is shown in the video (link below). Because of the shape of the wing paddle, this is easier to perform with an asymmetric paddle (Euroblade). An alternative to slicing the blade out is to lift it out of the water at the end of each stroke.
It may be necessary to move your lower arm back or forward if the boat turns as you perform the stroke.
https://www.youtube.com/watch?v=5iQtyHItZdE
Practice on both sides.