I do pretty much everything on my car, but I would not install a windshield. Older windshields used to be installed using a bead of butyl, a black, very sticky, substance that stays pliable. To remove a windshield you took a special knife and cut the butyl. Newer windshields are installed with urethane (think super glue). Much more difficult to get your old windshield out.
Installing a windshield is a two person job, and you must have the handle tools that attach to the glass with suction cups. The windshield is positioned by spacers placed along the lower and side edges. I am not sure how the windshield repair places install them, but in the assembly plants once the windshield is in place they have a clamp device that secures to the A pillars and applies pressure all around the outside edges of the glass to ensure the adhesive properly wets out.
Without question, the most critical aspect of installing a windshield is to ensure the metal surface aroung the windshield opening that the glass gets glued to is prepped properly. The slightest high point, such as can be created if you don't completely remove all traces of the previous glass and glue, will crack your new glass when pressure is applied to seal the adhesive.
The best advise I can give you is to let a windshield repair company do this for you. I would like nothing better than to be wrong so you can save some money, and I hope someone else comes on this thread and tells you how to do this yourself. If you are able to do it, post some pics, share your experience, and I will be the first to admit I was wrong. I just don't want you doing this without understanding the risks.
Good luck. Please let us know what happens.
2001 Bonneville SSEi (retired at 365,000 Kms.)
2014 Jeep Grand Cherokee Overland (yes, I know its not a GM)