The nearest airport to Trenton is Trenton Mercer Airport (TTN) in Ewing, NJ with only limited regional coverage. The more likely option is to fly into major airports in Newark (EWR) or Philadelphia (PHL), both of which allow access to Trenton both by road and rail.
Trenton is located along the Northeast Corridor rail line, accessible to most of the Northeast's major cities. Amtrak, New Jersey Transit, and SEPTA all stop at the Trenton Amtrak Station (72 S. Clinton Avenue). If you are traveling from New York or Philadelphia, taking NJ Transit or SEPTA respectively will be much cheaper than Amtrak. An alternate which is right in the vicinity is the West Trenton Station, however this station only runs SEPTA rails.
US 1 is the only major highway the runs through the city; however, I-95 runs nearby and offers easy access to Trenton along US 1.
New Jersey transit runs a number of bus lines through the city to the surrounding communities. See New Jersey Transit's website  for more details.
Trenton is the southernmost stop on the NJ Transit Northeast Corridor Line, which regularly runs trains from New York City to to Trenton. Trenton is also northernmost end of the River Line light rail system, which serves communities along the Delaware River from Trenton to Camden, and the R7 SEPTA line, connecting Trenton and Philadelphia.
Trenton also offers taxi services throughout the surrounding regions by companies such as Yellow Cab and United Cab Company.
The Delaware River also offers a great place for fishing especially with new renovations made to the surrounding land.
Although there is not much recreational shopping in the city of Trenton, the surrounding area is full of options. Just a few minutes up Route 1 is the Quaker Bridge Mall as well as several strip malls and shopping centers containing dozens of stores like Target, Best Buy, and Michael's Arts & Crafts.
In Chambersberg, an Italian neighborhood, there are countless excellent Italian restaurants including:
All of these places have been in "The Burg" for many years and are the first places that come to mind for most Trentonians.
There are many little close-knit bars throughout the city, but one particularly popular place is KatManDu. This restaurant also holds banquets and turns into a nightclub in the evening, entertaining many locals.
A few miles north of Trenton is Princeton, home of the famed university.
If you are looking for a different experience close to the area, the Jersey Shore is perfect. Point Pleasant, Seaside, and Belmar all offer beaches and boardwalks within 45 minutes of the city via I-195.