Your question on finding the inexpensive (limited budget) first telescope comes up frequently.
Your question on finding the inexpensive (limited budget) first telescope comes up frequently. The  previous suggestion above about starting with a nice quality pair of binoculars as a good place to start is true.  But dollar value in a lower budget telescope is a 6 inch Dobsonian. Several brands are available that come with basic eyepieces and accessories. Keep in mind you will need a guide to "sky hop" around the heavens above to locate objects of interest. Personally I like refractors, but a good quality refractor is  abit more expensive and requires a mount that a Dobsonian has built into it's design. In the economical small refractor an Achromatic "Achro" is the least expensive type. Achromats produce a better image when their focal ratio (F-#) is 8 or higher. My personal choice would be at least 80mm  objective size.   If you are mainly viewing the moon and planets a longer focal length/ ratio is better for both color correction and the power of magnification available in a longer fl.  An 80mm Achro refractor is for practical purposes power limited to about 160X or so.  If you are wanting to view wider DSO type subjects the Dobsonian is a better choice especially if you can get to 8 inches or more.