Rule 1: Ship to a local dealer with a valid Federal Firarms Licence (FFL), not the customer. Although it is legal for you to sell guns online, unlike other eCommerce products, you can't ship guns and gun accessories straight to the customer.
There's no law against gifting a firearm, or buying one with the intent to gift it. You may have to transfer it, depending on your state laws and to whom you're gifting it.
Definition of 'arms dealer'
No, you do not need a license in Texas to have a firearm in your car, provided you are otherwise legally allowed to possess the firearm, not engaged in criminal activity, and don't display the firearm in a threatening manner.
In about 30 US states, private guns sales between individuals are legal. But both buyer and seller must be citizens of that state, and the physical transfer of the gun must be made in person. Unless an FFL is involved, the gun cannot be shipped nor can it be sold across state lines.
Always check if your permit is valid before traveling. Texas does not require a license to carry long guns, such as rifles and shotguns. However, when it comes to handguns, different rules apply. You must have a valid permit, either from Texas or from a state with a reciprocity agreement.
As long as you are legally permitted to own a firearm and the vehicle belongs to you, then the answer is yes; you may have a gun, loaded or unloaded, in your vehicle in the state of Texas. Notice: Texas does not have laws regulating the carry of legal long guns (rifles or shotguns).
As of 2021, Texas law no longer requires people to have a license to carry (LTC) to carry a handgun in most public places. Texans can still get a license to carry if they wish. See the Texas State Law Library page for more.
Texas law allows a person to carry a handgun in their motor vehicle or in a motor vehicle "under the person's control." The person must be able to legally carry a handgun under both state and federal law.
Prior to 2010, only two states allowed people to carry concealed guns without first obtaining a permit. Since that time, allowing permitless carry has been a top priority of the gun lobby—and many states have repealed this fundamental safety requirement.