Poole is about 2.5h from London with 2 trains per hour for most of the day. There are regular, quick and convenient trains on the South West Trains service, but rail fares are generally expensive, so be careful.
There are coaches between Poole bus station and London about once an hour, via Bournemouth.
From the east, take the M27 until it becomes the A31. Continue past Ringwood, and follow the signs for Poole. From the west, come in on the A35.
There are regular buses on both the Wilts and Dorset and Yellow Buses services, however Wilts and Dorset buses tend to go further, with links to Southampton, Dorchester and Salisbury.
In the summer, there are fireworks displays alternately in Bournemouth and Poole.
Every Tuesday evening from April to September, motorbike enthusiasts converge on Poole. Apparently there are sometimes as many as 1000 cycles and, of course, the pubs on the Quay do good business from them. A good opportunity to swap tales or see what everyone else is riding. All parking on the quay is reserved for motorbikes but there is a charge of £1 and a prize for the best bike.
Brownsea Island is a National Trust site, famous for its large population of red squirrels, and as the birthplace of the Scout Movement. The animals on the island are very tame and will happily wander up to you. It can be reached by boat from the quay but note that the price of the boat trip does not include admittance to the island.
Bournemouth is nearby and has other places to visit, such as the oceanarium.
MonkeyWorld, near Wareham, is about 30 minutes away by car.
Kingston Lacey is a large house and estate formerly owned by the Bankes family and donated to the National Trust in the 1980s. The house contains paintings, furniture and egyptian artefacts accumulated over 300 years. It also shows how wealthy families of that time lived. See the National Trust website  for details of how to get to its sites and prices.
The New Forest is about an hour away by car and very popular in the summer.
Upton Country Park  is open all year round. It has a surrounding woodland with many footpaths. It also has various birdwatching sites overlooking holes bay. By the main Upton House there are two tea rooms where one can enjoy tea and cake for around £3.
Kite flying. From the quay, when facing the water turn left and walk for about half a mile until you reach a park. This is known as Baiter Park and is very close to Poole Park. On a good day, the kites will probably be visible from afar.
Poole Pottery  Famous manufacturers of pottery and cermanics. Poole Pottery has a long history of designing and creating cermanics but also has a contemporary ranges.
Most restaurants are along the quay, but there are a number of great eateries further into the Old Town. Storm serves mostly fish dishes with seafood caught locally the same day. Tandoori Nights is an excellent Curry House, which can get quite busy Friday and Saturday nights.
There are lots of pubs along the quay and a little inland.
There are many hotels and guesthouses in Poole, especially in the town centre. There are also camping sites in neighbouring towns such as Swanage and Merley. There is a Youth Hostel in Swanage and is run by the YHA.