Mate I use an old school double blade Merkur which is like a disposable style. The technique is the same though, you need to ensure you get the lather right (peroso is ok) and shave with the grain not against, ensure your face has just been washed to soften the whiskers & it takes plenty of practice. It also depends on what blade you use as some are more aggressive than others. I use the sharpest available so I don't have to push on my face and get a cut like yours.
In summary
1. make sure you wash your face/ have your face wet
2. use a brush and soak it in hot water for 5 minutes beforehand
3. then create the shave soap by swirling it consistently
4. swirl brush as you are applying the soap on your face
5. take your time it might need to be done 2 or 3 times
Swannie