Can I easily string DnD starter set campaign to another module?

I’m pretty interested in to buy the DnD Starter Set to both get introduced to DnD and GM/DM for the first time.
Since I discovered Stack RP, I read a lot of DnD Q/A by curiosity and it really gave me envy to try it out.
I already played a bit as a player with a group of friends, and I’d like to DM this group as I’m a bit shy and I know them pretty well and can anticipate how they will act and can react better to this.

But even after searching for this I don’t have clear answers to two questions which are separated in two posts.

The question here is : After finishing the starter set campaign, can I make my party “move” to another bigger module easily (keeping characters sheet)? (this question is related, but don’t really answer if it is possible to make a transition instead of just start a new game)

I’d like answers specifically for this campaign as it’s a basic one, there shouldn’t be any “compatibilities” problem in this way. Answers from DM who’ve already done that would be really great.

Link to the first question which’s about the duration of the starter set campaign.