Hi Angelina,
Good question and one that we are asking ourselves a lot at the moment
Basically the Dragons is a low-key club that really just exists so that triathletes who can come together for a well organised race every month or so and mix with other like minded people. We do have the running group on a Thursday but we do not employ coaches or arrange group rides or swims. We leave it up to the membership to work it out amongst themselves or join the SIR Cycling groups for rides and one of the other groups for swims.
IHP and HKTriA both employ coaches as do clubs like Sonic. If you can make it to the venues that these guys use easily with your schedule then they will work well for you but you will need to pay a monthly fee.
BTW, we had a girl who came down on the weekend for her first tri and is desperate to find other newbie tri girls to ride with. If you are interested reply and I will put you two in touch.
Cheers
Paul