Are you pushed for time, OP?
If you don't usually wear makeup and don't know where to start, you could book a makeup appointment with a brand at a department store and they will find the right colours and do it for you. The cost is usually deducted from any products you buy, so if you were going to buy some foundation anyway, just buy a couple of products and you can get the makeup applied for free.
How do you style your hair? If you get a blow dry then you could book a hair appointment for a trim and blow dry the same morning, then do the makeup appointment, then get your photo taken.
Or, the cheaper version, do your hair the way you like it, make sure your skin is clean and moisturised, then go to the makeup counter at a department store and ask them to help you choose the right foundation shade. All you really need to do is rub a small amount of foundation into your skin, use some mascara on your lashes, and maybe a little bit of translucent powder if your skin is too shiny.
Either way, I wouldn't pay someone to take the photo. Even when I've paid £20+ to have a professional photo done, it's better than the photo booth, but it's still not great because I feel too awkward to get them to keep taking photos until one is just right.
Sort your hair and makeup out and then find a friend to take pictures of you on their phone, in natural light, in front of a white or very pale grey/cream wall. You need to find somewhere you don't cast a shadow. Then you can take as many pictures as you like.
You can do the passport application on your phone and upload the pictures directly and the site will tell you whether the photo is acceptable or not.
By the way, one of the reasons why the booths take such terrible photos is because your eyes focus on the image that is projected on the glass, and then just before it takes the photo the image disappears and what you can see is the camera behind the glass. So your eyes are in the middle of refocusing when the picture is taken and you're slightly cross eyed as a result, which is one of the reasons why you look like a crackhead who has just been booked in for a night down the cells. Never, ever use a photo booth.