Well, I'll have a stab at answering the OP's question. Like others have said, there is no “typical” roster but there are the following types of trip on the Airbus:
Day trips (2 or 4 sectors)
Two-day trips (usually 3/3 but sometimes 1/3, 3/1 or even 1/1, depending on destination)
Three-days trips (usually 3/2/3, sometimes 3/4/3, 3/2/1 or 1/2/3, and a few with standovers so 3/0/3, 1/0/3 or 3/0/1). The Mid-haul trips to the Middle East are 1/0/1 or sometimes 1/0/0/1.
Four- and five-day trips can be anything from 3/4/4/3 to 3/2/0/2/1, again, depending on destinations. There are currently just over 40 destinations with night stops.
A few people do only day trips, a few do only long tours, but a large proportion of rosters will have a bit of everything. That’s the LHR situation; can’t help much with the LGW scene other than to say there are very few night stops; it’s almost all 2 or 4 sector day trips. Hope that helps.
Oh, I forgot to mention the LCY-JFK flights but as a new joiner you won’t get anywhere near them.