People who have normal skin are so lucky, for real. You don't really have that much oil and there isn't much dryness either. You have a good balance of both. You also don't get blemishes very often either (Double lucky!). This will be easy to inform you on how to take care of your normal skin.
First for a cleanser, you can really look for anything. Try a creamier one and a gel or foamy one and see which agrees more with your skin. A cleanser that's like the holy grail of cleansers is Philosophy Purity Made Simple. This cleanser is supposedly good for all skin types, but I remember trying it a long time ago and it didn't do anything for my super oily skin. This is good for normal to combination skin. This stuff is also very gentle on the eyes so it's perfect for getting off eye makeup at night. If you use the Clarisonic in conjunction with this cleanser, you have probably the best skin cleaning system around. I won't even recommend a drugstore cleanser because with Purity, it comes in a ton of sizes starting at 3 ounces for $10 at Sephora, to 32 ounces for $49.50 (this size will last you a very, very long time too). If you just want to try drugstore cleansers, look for something from Olay or Neutrogena. Those brands are the brands I trust the most when it comes to good skincare.
Now with toners, I say normal skin doesn't particularly need one, but if you want to try something, a nice one is Origins A Perfect World Age-Defense Treatment Lotion with White Tea. I know it says lotion in the name, but it's really a toner. Sometimes normal skin can lean towards being a little dry occasionally, so this will help put a little moisture into your skin, while giving you some age fighting protection. Neutrogena makes a really good toner as well if you prefer drugstore toners.
A real insanely popular moisturizer that's great for normal skin is another Philosophy one. it's Hope in a Jar. This is another cult favorite that helps to hydrate and protect your skin. This is a moisturizer I actually really like. It is a bit heavy in the summer for my oily skin, but in winter it works pretty well. This moisturizer also comes in different sizes, and 0.5 ounce costs $15, which isn't terrible but for under an ounce it's a little high, but hey, it's a great moisturizer that isn't going anywhere in the near future. Now I love Neutrogena moisturizers (Neutrogena anything really) and a very good one is the Oil-Free Moisture SPF 35. Normal skin to me can get away with using a moisturizer with SPF and not have their skin freak out. Putting an extra layer of sunblock on top of a moisturizer can sometimes be too much.
Although, if you really want the extra layer of sunblock, again, the Neutrogena Dry Touch sunblock is the winner in my book. It won't make your skin greasy but it'll give it enough moisture in case you're a little more dry.
Hopefully this has helped anyone who has normal skin. Like I said, you guys are lucky because you can really try anything you like without having your skin be too fussy. You just have to try some things and see which works the best for you so you can keep having that glowy, beautiful skin :)