As others have said this early in your DE journey it's unlikely to be the razor. A more aggressive razor will mask poor technique to a point because it'll work at a wider range of angles, but it will also allow you shave at angles that are sub-optimal and that way lies irritation. Gillette sold the Tech largely unchanged for 40 years, this is because for the majority of people that's all they needed.
If you feel you must buy something else the Fatip Piccolo @TobyC linked to above is a sold choice, they're great razors and nobody ever declared one of those too mild. Importantly though they're inexpensive.
Having Googled Edge, it appears to be gel in a can. Most canned shaving products produce extremely thick lather and the thicker it is the harder it is for the blade to make contact with your skin. There's a reason most people who use DE razors use traditional soaps or creams and that's because you can tune the lather thickness. Mine's the consistency of yogurt, having the lather thinner and wetter makes it easier for the blade to reach my skin.
If you feel you must buy something else the Fatip Piccolo @TobyC linked to above is a sold choice, they're great razors and nobody ever declared one of those too mild. Importantly though they're inexpensive.
Having Googled Edge, it appears to be gel in a can. Most canned shaving products produce extremely thick lather and the thicker it is the harder it is for the blade to make contact with your skin. There's a reason most people who use DE razors use traditional soaps or creams and that's because you can tune the lather thickness. Mine's the consistency of yogurt, having the lather thinner and wetter makes it easier for the blade to reach my skin.