Josie,
As an amateur astronomer and astrophotographer, I can speak with authority on this. If you don’t want to do photography, you can do this for pretty cheap, but it depends on your budget.
You don’t want a refractor (see below)
For <$100 I recommend this:
http://www.celestron.com/browse-shop/astronomy/telescopes/firstscope-telescope
For < 500 I recommend a Dobsonian telescope.
http://www.telescope.com/Telescopes/Dobsonian-Telescopes/pc/1/12.uts
You will want a couple of different eye pieces, and maybe a Barlow, which is a doubler. An excellent starting scope package is an 6” or 8” dobsonian, a 25 mm and 17 mm eyepiece, and a 2X Barlow. That will give you everything you want. Add in a Telrad viewfinder and a good atlas like Terrance Dickenson’s Nightwatch and that’ll be good for you for years.
Now, if you want a “go to” scope, with a mount that will point to where you tell it, that gets more expensive, or a smart Dobsonian, that gets more expensive.
The difference between the types of scopes:
Refractors are basically are tubes with two pieces of glass on either end. Cheap refractors are, well, cheap, and worse than worthless. Good refractors start in the several of hundreds of dollars. I have a 5” refractor that I bought used, but retail is about $6000
Reflectors are the best bang for the buck. You get aperture, which increases your light gathering power, and you can get more aperture for pretty cheap. An 8” reflector on a dobsonian mount is about $370. (At least on Orion’s site)
Catadioptric scopes are a combination of both. They’re solid, but they’re more expensive. They’re also optically slower.
Good article here
http://www.skyandtelescope.com/astronomy-equipment/how-to-choose-a-telescope/
My best advice, though, is go to your local astronomy club and one of their star parties, and look at the various sizes and shapes of scopes.
Now, if you’re interested in astrophotography, it’s a whole different ballgame. If you want to do any type of serious astrophotography, now you’re talking serious time, money, patience, and frustration. Especially frustration.
Feel free to give any follow up questions, and research before you buy. I’ve seen too many people buy equipment that wasn’t matched well for them, and they walk away from the hobby frustrated forever.
Lastly, although you’ll see the moon and the planets pretty well with pretty much any scope, seeing deep sky objects is often a disappointment. My avatar, for instance is a photo of M42 and the Running Man nebula, but it’s a composite photo that has gone through extensive high dynamic range processing using layers and masks in photoshop. If you look at it through an eyepiece, you’ll see a smudge. Visual deep sky astronomy is all about getting excited about seeing smudges.