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.
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.