I have two cats, I love cats!
I have one but he is a house cat.  He has a mind of his own but I'm glad he is an indoor cat.
I wonder how long cats have been domesticated for.
I'm not really sure but Charles Darwin noticed some traits that made domesticated animals different from wild ones.
What do you think the typical lifespan is for a cat?
I would guess domestic cats have a lifespan of around 15 years.  There are around 70 cat breeds labeled as domesticated.
Wow that is a lot of different cats! 
I have a Maine cooncat, he is a big fella, one of the largest breeds of cat.  What about you?
Mine are both Siamese.
Siamese cat
The Siamese cat is one of the first distinctly recognized breeds of Asian cat. Derived from the Wichianmat landrace, one of several varieties of cat native to Thailand (formerly known as Siam), the Siamese became one of the most popular breeds in Europe and North America in the 19th century. The carefully refined modern Siamese is characterized by blue almond-shaped eyes; a triangular head shape; large ears; an elongated, slender, and muscular body; and point colouration (aside from the colouration, it
they are still capable of surviving in the wild. House cats often interbreed with feral cats, producing hybrids such as the Kellas cat in Scotland. Hybridisation between domestic and other small wild cat species is also possible.
Several natural behaviors and characteristics of wildcats may have preadapted them for domestication as pets. These traits include their small size, social nature, obvious body language, love of play and relatively high intelligence. Captive "Leopardus" cats may also display affectionate behavior toward humans, but have not been domesticated.