Hi Lynn -
Here are a few things that are important to look for, and why:
1. Aperture - The old saying "aperture rules" is as important now as it always has been. Aperture is the diameter of the opening that allows light into the scope - usually, it's pretty close to the scope diameter itself. This is important because most astronomical objects are not hard to see because they are too small. They are hard to see because they are too dim. The larger the opening to let light in, the more photons can be funneled into your eye at the same time, and the brighter and clearer the image will be. Aperture almost exclusively determines what you will and will not be able to see with your scope. I would seriously recommend that you try to find a scope that has at least 8 inches of aperture. This means a reflector telescope.
2. Solid mount - Flimsy aluminum tripods are found on a lot of cheap telescopes, and they are rendered nearly useless by this one shortcoming. It is critical that you have a solid mount, because without it, the tiny patch of sky that you are looking at will be moving constantly - just enough that it will be impossible to actually see anything for more than a second or two. Solid mounts are essential, and the lowest cost for a solid mount is a Dobsonian mount.
3. Ease of setup and transportability - Most beginners think that they will do most of their observing alone in their own back yard. Most experienced amateurs observe with others all the time. This indicates strongly that you should buy a scope - now, not later - that can easily be packed up, moved, and set up again. This criterion again favors the Dobsonian design, which is substantially simpler than the other configurations that are out there.
4. Source - Do not buy a used scope unless you know how to repair it. Do not buy from Ebay, Walmart, or other department stores. The agents in these otherwise respectable venues know less than nothing about astronomy. When you need help (and we all need help), they will be cluelessly reading the manual with you. That's not what you need. Buy from an expert, a dealer in telescopes and optical equipment, who speaks the language and understands what he is selling.
5. Cost - The cost for a decent telescope ranges from $350 to well over $10,000. You will generally get what you pay for, But my advice is to spend your available budget on better optics, not on fancy electronics and computers. There is not much in this hobby that is as disappointing as finding out that you purchased a computer that will aim the scope at 4,000 objects, but the optics are so limited that you can only see 20 of them. A good 8 inch Dobsonian will allow you to see hundreds of objects on a clear night, but you will have to learn how to find them. This requires patience, but frankly, that's half the fun.
The link below is a rather standard 8 inch Dobsonian that is a great choice for beginners. There are others out there that are similar. I bought one like this for my son, and he like it a lot.
http://www.telescope.com/Telescopes/Dobsonian-Telescopes/Classic-Dobsonians/Orion-SkyQuest-XT8-Classic-Dobsonian-Telescope/pc/1/c/12/sc/13/p/8943.uts?refineByCategoryId=13
The advice about attending a few local star parties is sound. This will help you to learn what to expect at the eyepiece and at the cash register. You will receive a warm welcome, and lots of chances to try different kinds of scopes. Try before you buy! Good Luck and Clear Skies!