Ok, three links from Eve Uni to get you some more information. Pay particular attention to the skills in the 101, these are really important.
Generally speaking, the T2 Guardian and Basilisk are the Fleet logistic ships. (Augoror and Osprey are T1).
Scimitar and Oneiros are Skirmish or small gang logistics. (Scythe and Exequror).
Triglavian cruisers - Rodiva and Zarmazd
There are also logistics Frigates (T1 and T2), battleship (Nestor), Orca, and virtually the entire Triglavian line has logistic bonuses.
If you can train up the skills required I might recommend you join one of the Incursion groups and get paid for some hands-on logistics fleets. Be patient, the wait lists can get long sometimes.