Not having to plug in is nice. You'll learn faster if you can pick up the guitar any instant, to play with a TV commercial for instance, and don't need to fiddle with knobs. You can drag your acoustic across the street to jam with a new neighbor. To do that on an electric you'll have to at least bring along a mixer even if they have an amp themselves.
Electrics certainly have more range though. Effects will become an expensive hobby, but it's much more satisfying playing alone with a fuller texture. You can use loops and sustain. Tappistry isn't really possible on acoustic. Effects can be inspiring for new composition. Effects can go two ways, muddling or range-expanding, especially when using attack driven effects. Unquestionably go electric if you want to be a one-man-band.
I started hollow-body myself, and recommend that, plug in optional, but a nice hollow-body costs more.
With a nice effects rack like the midi controlled Roland GP-8 analog rack, you can even turn harmonica techno. You can't turn an electric acoustic however, so that's a vote for acoustic too. A Baby Taylor has really full sound yet fits in an airplane overhead with a soft case.
I just ground the frets off an acoustic and added a 6-channel to 2-channel pickup and electric strings, which is to say that I've eventually found I can't do without the benefits of either.
Guitar tends to be a consuming expanding passion, so you'll probably end up with a variety of instruments for particular situations anyhow. It's also nice to have guest rigs lying around. That said, pushing the range boundaries will also synergistically expand your repertoire on every instrument, so if you do get an acoustic, you might get a fretless bass next. Don't try to hone in on the ultimate instrument yet. 20 years from now you might finally realize that a Dobro, mandolin, 10-string midi Hamer axe, sitar, or lap-steel was really what suits you best - but you won't know without testing some extremes first.
Electric was great fun to begin with, but if had to pare down to one instrument, it would be acoustic now, in spite of my being an electronic atmospheric sound sculptor. Acoustic is too convenient for bicycling down to string-band camp-outs, picking up any instant, or playing at family holiday dinners.
If you can, just buy used for now - so long as you can try it out. Bring a tuner with you and make sure the tuning is consistent from fret to fret. Who cares if it's beat up looking. If you're considering an electric anyhow, concern with the dialed-in harmonic resonance of an instrument vs. effect generated equivalents which differentiates quality instruments is a premature waste of money for the time being.
That said, it's time for the other hand. Your first love will probably be both terribly influential on your eventual style, and hang on your wall eventually as my Ventura hollow-body electric bass does now. Try out a lot of instruments before buying anything at all, and wait till you fall in love with something that simply calls to you. Also ask a knowledgeable sales person what the pros and cons of a specific instrument are. A good one will point out things like the disadvantages of not having adjustable action, or bad placement of an audio jack. My first used gear sales person pointed me to great deals on instruments I didn't realize were what I was seeking for another few years.
Finally, all instruments have personalities. Two instruments may look similar, but one wants to play surf, and the other metal. Do you want to picnic with Snidwick or Veronica? Wise selection is half technical and half intuitive.