Making time for new friends

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How do I explain to someone that I have very limited time for new friends without being mean?

>Last week
>Meet a very nice girl with my friend
>She'd just moved to the city
>Have a fun night, we don't know most of the people at this thing so meeting new people is cool
>I say we should hang out again sometime
>Next day get some texts from her
>She asks me out, I decline
>Nothing wrong with being friends since she's new to the city
>Keeps inviting me out to things, clearly disappointed when I have something planned
>I have a lot of friends and social commitments, plus work and needing some time to myself
>But I feel like my excuses are running out, I just don't feel like putting in the effort to someone new at this very moment, maybe in a few weeks/months

So how do I manage this without hurting her feelings? I enjoy texting with her, but I don't want to date, and it takes a lot of energy to go out and get to know someone new as two pals.

I have a lot of different groups of friends... if I had just one, I'd invite her to come hang out. But she can't get to know every group I have and still fit in.