If you want to be an actual logi, go into level 3 of hives, injectors, rep tools and uplinks, and an advanced suit of your choice. Create fitings based around each equipment, and deploy them in strategic points or defensible areas in each map where support is needed. Lots of times those are supply depots, especially in Doms -- frequently, whoever controls the depot controls the point, so make a point to place uplinks around them, so that they tend to be defended.

Do not be that douchbag logi in every other match that deploys hives around the supply depot in an attempt to farm as many WP as possible from mercs changing out their fits. If you do, you should be ashamed to call yourself a logi, and you are utterly useless at your job. Deploy hives (especially repping hives) in known choke points or positions that need defending, where they do your team the most good -- do your damn job, in other words. Uplinks are better for around a depot.

I have a series of fits, each dedicated to a type of equipment. When a match starts, I deploy uplinks where I think they are most useful/protected, then I go find a supply depot, change out to a 'hives' fit, and deploy those in important places for my team. Then I go back and switch out to more of a 'slayer' type fitting with a dam mod or two and a rep tool, and support my squad/team. But while I'm doing that, I'm always keeping an eye on my equipment -- if it got used/blown up, I go back to the depot and resupply those positions, then go back to repping and rezzing my teammates.

Every dedicated logi fitting I create has an injector, save 2 that I call my 'basecamp' fittings (which are all hives/uplinks), which I deploy when I want to setup shop somewhere, like a high tower or something.

Being a good logi is about looking at the bigger picture. You have to know the maps well enough to know where most engagements tend to take place, and support those positions. After you've done it for long enough, you'll actually find that where you deploy equipment is actually a great non-verbal cue to noobs and squad-less teammates on where they should be on the battlefield -- it's a subtle way of directing the flow of the battlefield, without actually saying anything. It's more difficult these days, with all the equipment spam every damn place, but you can help by placing your equipment as smartly and logically as possible.