Put simply, any time you file a claim, there is usually a rate increase. Since you don't know who it is that hit you, you would have to go through your own coverage. Glass claims fall under a comprehensive claim, which tends to be small. However, even small claims can lead to a rate increase.
I recommend getting an estimate for the new side mirror prior to filing a claim. Furthermore, unless you have specific glass coverage (which would give you a lower deductible), the value of damage must exceed your deductible prior to insurance providing compensation. A side mirror claim might not exceed a standard comprehensive deductible.
This decision is ultimately yours. Best of luck, and if you have any questions don't hesitate to ask.
The resulting damage from hitting a pothole is actually considered an "At Fault" accident and would be covered under the collision portion of your policy. The reason this is the case is because insurance companies expect drivers to operate their vehicles safely and watch for hazards in the road to avoid frivolous claims.
Here is a simple breakdown of the process in Texas to transfer ownership of the vehicle to your son as a gift:
You (the giver) and your son (the recipient) will both need to fill out and sign the "Assignment of Title" section on the vehicle's title. You will both need to fill out and sign the 130-U form (which is the title and registration application) available to print on the state's website.
Normally when you are driving and hit something in the road then the damage would be covered under collision. However, hitting a deer (or any other animal) is considered a comprehensive claim since it is an unexpected variable and falls under the category of an "act of god," much like hail damage or vandalism.