hey relegate
when is this trip and how "old" is older kids?
apartmentslucca.com
come&seeitaly.com has tours if interested (wine tours or barga and garfagnana)
luccatours.com
fattoriaaldotto.it a winery in lucca
extravirginlucca.com cooking class
cucina-italiana.com half day cooking classes, many different ones and has accomodations
rent bikes to ride inside or outside of the wall. make sure you give time just for lucca itslef. sit at cafe glass of vino, lunch or dinner (check the hours open, some may close at 2pm and open at 7pm), people watch, no cares enjoy. when you have research done and what's important to see, don't sweat, not all can be done. you'll be planning another trip on your flight home.
stop at tourism kiosk and see what they have
take a bus or train to viareggio to the beach
the town of collodi near lucca is home to pinocchio park, garzoni gardens and butterfly house.
with lots of things to do no boredom. all the cities you"re seeing london, paris and rome will be busy and crowded, if during summer will be hot. your place should have A/C. travel by train (center to center), a car is useless. no parking within city, expensive parking outside of city, laws of driving within them.
if you are in rome for a few, walk around down the small streets (alleys), will bring you something new. withlocals.com has things if interested. oldfrascatiwinetour.com read their blog and about us, train 30 minutes to the countrysides, area is known for frascati wine, off the beaten path.
have a fabulous time
aloha