Which recruitment agencies covers H&F in London and what is your opinion on issue of working with one recruitment agency on several firms?

So, I’m talking to one recruitment company regarding one company. It’s a super cool company and I really really want to join them, but there are also other companies the agency is covering. I am not exactly sure if it’s okay to talk with the same agency for different firms…? Do they somehow let one candidate to only talk with one firm at the time…? What’s the internal philosophy if anyone has insights of course? How do I make it clear that I’m interested in several of them without it sounding like I don’t know what I want and I am concerned that it might in fact reduce my chances of getting something? I think applicants understand that it is a diversification thing for me but I hope they aren’t removing me from one process if I’m talking to another recruiter from the same agency?