Like what other has said, they it to the shop. You need the proper tools and knowledge to do it properly. Improperly installing a timing belt will make your car run like shit and give you lots of headaches. Save yourself the hassle and trouble, let the shop. It may be expensive, but it's once every 90k miles.

Also, you SHOULD replace the water pump while you have the timing belt off. A defective water pump cost as much as a timing belt job because you have to take off the timing belt to get to the water pump. Depending on which model Integra you have, the vtec is about $100 and non-vtec is like $50 for a new water pump.

A recommendation, insist on a Honda OEM timing belt. Paid the extra $20 or so and the OEM belt. These last up to 90k and more. The aftermarket usually last about 60k, sometimes not even that long.
My mechanic told me he has seen plenty of timing belt break because of cheap aftermarket belts, so insist on the Honda OEM belt if you can.