I am so excited to see the real space instead of all the good pictures online and posters.
Get set for a disappointment if you expect to see what you see in pictures. I don't mean to be pesimistic but all of those pictures you've seen with all of that color are TIME based photo's. Your eye's will not decern that much color viewing objects through a telescope. Especially with binoculars or a $100.00 telescope.
If you want to view solar system based objects buy a 3" (80mm)or larger objective lens Refractor. I recommend a 4 inch.
If you want to view deep space objects ( nebulas, galaxies, etc..) buy a Reflector in the 6" (150mm)or larger catagory. Most prefer 10 inch.
If want to view both and you don't live where it's dark then you will have to take your telescope to an appropriate dark place. In that case I highly recommend a Schmidt Cassigrain telescope. It gives you the best of both a Reflector and Refractor. A 8 inch Schmidt Cassigrain is a good compromise but they do come as small as 4 inch and these are usually of good quality, and as large as 16 inch for mass production.
Most people really want to see more than just the moon and Jupiter and Saturn. A 60mm refracting telescope is just not going to give you good views of deep space objects like Nebulas and Galaxies, and there are hundreds to see. They are wonderous.
1) Light Gathering power is more important than how much magnification power your telescope has. (any good flashaholic would know that)
2) The next most important thing is Dark Skies. The more light polution, the less you can see.
3) The larger the objective lens usually means the more Light Gathering power you have. ( the higher the magnification then generally the dimmer the image)
4) If you plan on using your telescope for the moon and planets you will need a clock drive. The moon especially will move from view very quickly because of the rotation of the earth. A clock drive compensates for this rotation. You will have the same problem with all space opjects, but the moon is the worst.
5) Your Tripod is just as important as the Telescope. If you think you shake at 10x with binoculars, try looking through a telescope at 100x. If your tripod is not rock solid every breath will make it shake.
Astronomy is a great hobby. Unfortunately most people buy very cheap telescopes, get disgusted their first time out, then throw the telescope in the attic or basement. Buy the best you can afford. If you decide you don't like the hobby, you can always sell a nice telescope. Good Luck.
P.S. I see you also wanted to look at stars. Stars look like stars no matter what magnification you look at them at. They are so far away they always look like a pinpoint of light. Binarys and star cluster now are something different.
Bill