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If your going to run accessories you will need to fit a battery, so you might as well make it a decent size one.
The alternator might self excite but you will need to find the sweet spot in the RPM. This could be a bit hit and miss so I would recommend connecting up the exciter/warning light circuit. You can just connect this to positive (no warning light) but I would use a warning light. If you do just connect it to positive it will still need to be via a switch or it will flatten the battery when the alternator is not running.
Just connect the sense wire to the B+ terminal on the back of the alternator.