Try depilatory creams - they soften the hair and you just wipe it away. Apply to clean, dry skin, wait 5-10 minutes (check the instructions), then rinse with warm water. The effect lasts three or four days, then the hair grows back, but it doesn't hurt and won't irritate your skin if you pick a cream for sensitive facial skin. The main thing is to test it on a small patch first to make sure you're not allergic, because some people do have reactions to the ingredients.
There's also an electric facial trimmer - it's a small device that doesn't shave but kind of cuts the hair very short, almost to the root. It looks like a light shadow afterward, but it's less noticeable. You can carry it in your purse and use it whenever you want, no chemicals and no pain. A lot of people with this kind of hair go for a trimmer - it's convenient, quick, and safe for your skin.
If you want something longer-lasting, you can go for a salon treatment - photoepilation or laser. It's pricey, but the hairs get lighter, thinner, and grow slower, sometimes they disappear completely. But you need several treatments, not just one. If the hair doesn't bother you that much, a trimmer and cream are the easiest option - simple, effective, and cheap.