Owning a home is a sense of accomplishment for all you hard work you did to get to this point in your life. You can rent a home but buying a home is more gratifying. 

The details you can not touch are tough to measure, but there are other benefits you can determine:

Investing Finacially:
Paying your monthly mortgage payment produces equity for you, and cuts your landlord out of the equasion. 

Your mortgage interest may be tax deductable:
Enjoy owning your own home by being able to write off some of your mortgage interest you pay over the course of the year. 

Monthly mortgage payment may be fixed:
If you apply for a fixed-rate mortgage, the rate of your monthly mortgage won't change for the length of the term.

Gains:
Time to sell your home?  Avoid paying taxes on the proceeds of the sale that are above what you paid (see information on capital gains).

TIP: 

Choose a home that will grow with your family, the benefits of owning increase  finacially over time.  Choose a local agent who knows the neighborhood that you're interested in, he will be able to answer your questions.