I will be purchasing my first handgun in about a week and the information here would be invaluable.
So far, a 1911 pattern gun (in I assume 45ACP), the 9mm caliber, .22 caliber and 38 special have all been mentioned. Pretty random... nothing bad, just random.
Perhaps knowing the purpose of this handgun may determine a range of desired calibers... it may even serve to narrow down the choice of handguns.
Home Defense.
9mm, 38 special, .357 mag, 40S&W and 45ACP are the most common with men. With women, you can add to those listed... .22, 32ACP and .380. With women it can be more a matter of gun size than tolerance to recoil.
There are other calibers like 10mm etc etc, but the above have been traditionally the most common or popular.
Defense-Concealed Carry.
All of the above... frequently in a smaller package. For example, a double stack gun for HD, a single stack for carry. A 45ACP for the home, a 9mm for carry. No opinion is being offered here... only examples.
"Good general purpose gun to have around the house".
There is no specific gun or caliber here. Your needs are your needs. You may have children... or not. You may have a significant other... or not. If other people are involved and may be in a position to use this gun, then they have to be taken into consideration.
For example... if you have children that show an interest in firearms, then perhaps the .22 mentioned is a good place to start.
If your significant other may be using the gun for HD, then they have to be able to operate and shoot it comfortably.
Target practice. You can never go wrong with a good .22 target pistol... as previously outlined nicely by Win73.
Decide what it's for... it may be for the above, or a combination of the above. When you ask questions like this, be more specific, or you leave yourself open to general, and perhaps unrelated answers.
Have fun,
C