I own a small, in house plastic injection shop. I have no formal training but pick up scrap equipment and get it running again. I make mostly simple things from it and sell under the name of Proxie Models.
Picking the proper CAD software is very important, because you are going to invest a lot of time in to learning. I spent time playing around with demos and even a program loaned to me by a kid at work who hacked them somehow. I am glad he did, because the program in question was Solidworks and it was completely un-usable in my opinion for my purpose.
I settled on Rhino 3D. I purchased an older version and have never upgraded because it works well. A lot of programs want you to "rent" them by charging you a per-year license fee. Rhino is one and done. Pay once and you use it forever. There are used CD's floating around on Ebay for a low price. My friend purchased one for $35. I keep re-installing it on new PC's as I purchase them with no issue.
One thing to consider is there are 2 main file types and methods to work. Solids and Meshes. Programs like solidworks are great with curves and solids, while others like 3DS Max are good with meshes. Rhino does both, although not as good as a program that specializes. However, for my needs it has never failed to be able to do what I needed.
Here is a picture of a fender from the Cyclone I made, one is a mesh and one is a solid.

A mesh only has straight lines, and you make it appear smooth by sub-dividing those lines smaller and smaller. This results in larger and larger file sizes and as a result requires more and more memory. On the left in the picture you can see the blocky shape of a mesh that is the drawback to this method.
A solid or surface has a smooth curve with far fewer data points. A circle might take hundreds of points to create in a mesh but only a few in a surface.
Rhino is also non-proprietary. A lot of these programs try to encourage you to stay within their system by having you work with their program extensions. The worst I have seen in Delcam and Powershape. ( I think these are now owned by AutoCAD so this information may have changed) When I checked on them you had to upload a file to them to convert to their format or out of their format and the charge was $75 per conversion. Rhino will import a lot of file types and export as a lot of different things.
Only real issue I sometimes have is the PC gets slow when working with a lot of data points, for example with a mesh that has been sub-divided a lot of times. I usually deal with this by placing some objects on a different layer and then only viewing one layer at a time while working on things.
It does crash once in a while, but overall I have been quite happy with it. I am still on Rhino 4, while I think they are up to 6. Based on the e-mails I get 3D printing might be built in to it now. There are loads of free tutorials to learn with as well.
In the past they allowed you to download and have fun with it but only allowed 25 saves before you had to buy.
Worth a look before you commit. Just my $.02