A TV show addressed this some years ago. What appears to be the full video on You-tube:
This was a TV production, they obviously have a budget well above what most amateurs could bring to it. They quickly concluded that reaching orbit was out of the question within the scope of what they could do, so they set out to do what they could.
Their rocket--which cost thousands of dollars to build--made it something like 10 miles up. That's only a drop in the bucket compared to what it would take to reach orbit. (Simple illustration: To push a rocket to the edge of space costs you about 1,400 m/s minimum. To put a rocket in low orbit costs you about 9,800 m/s minimum.)
Also, by the time you're talking 9,800 m/s the rocket equation has become brutal. Good solid motors have an ISP of about 250, vs 450 for LH2/LO2. This means that pushing something to orbit with solids means a rocket several times bigger than with the good stuff--and note how big even the smallest orbital rockets are.
There are also major permission issues involved in such a launch. The normal safety laws of amateur rocketry can't handle an orbital launch, thus you have to convince the FAA and the government that your systems are safe even when they don't function as intended. You'll also need FCC licenses to talk to your rocket and a blaster's license for the range safety system. (Yes, there are high explosives on every rocket that goes up. The charges are fairly small as they are only meant to burst it, drag & the fuel finish the job. Watch the video of the failed SpaceX CRS-7 mission--the control computer detected a catastrophic failure and destroyed it. Likewise, the first Ariane 5 launch, the rocket tips, when it starts to break up the computer destroys it. Manned missions are not exempt--look hard enough and you can find video of the commanded destruct of the boosters in the Challenger disaster. This is hard to find as most of the video focuses on the disaster itself. The solid boosters were still burning after the big boom, though, but no longer had a guidance system. Note how their flight terminates in a big puff--that was a destruct order.)
Since the comment mentioned abbreviations:
ISP: Specific impulse. (It's usually written as Impulse [sub]SPecific[/sub], hence the order of the letters.) This is a measure of a rocket's performance, the bigger the number the better. While the ratio is linear the ratio between performance and size is exponential.
LH2: Liquid hydrogen. (Hydrogen exists as a molecule of two hydrogen atoms, hence the 2.) Energetic but very nasty to deal with, enough so that it's not unusual to see a lesser fuel used in the first stage where performance isn't so critical.
LO2: Liquid oxygen. Again, a molecule of two atoms. Note that this is also sometimes labeled LOX. Not nearly so nasty as LH2 but still it needs some pretty careful handling because it can make little fires very big very quickly.