"Can I just type one out on my computer and print it and sign and it will stand up in court?"
There is also another concept which many state laws recognize called a "holographic" will. This is a handwritten will which might stand up. Again the rules differ considerably by state. A will you prepare on computer might not qualify as a holographic will in your state and might be invalid whereas a handwritten will might be valid. Again, there are lots of twists.
If you still want to brave it on your own (not the wise choice) at least buy a decent book or software package on the topic. Nolo press (I get no commission) is probably the best at this. But again, doing it yourself can miss tremendous issues. Try reviewing some of the probate and estate will questions on this web site to see how folks get themselves into trouble doing it themselves. My advice, get a lawyer. If you want to keep the cost down and get the most benefit, get a lawyer in your state that does a lot of probate and estate work and be upfront that you need to keep costs to a minimum. Good luck.