Level 1 and Level 2
These can be easily accomplished in T1 Exploration Frigates as they have a huge cargo hold and align/warp quickly. However, as these lack offensive capabilities it is worth having a combat-capable ship nearby should you run in to one of the mission chains that involve combat.
You will need to invest in an Expanded Cargohold module to bring your capacity up to 450 m3, however for most missions you will be focusing on Inertial Stabilizers for a faster time to warp. If you are rigging a ship for Distribution, then 3 x Hyperspatial Velocity Optimizer will be your biggest asset to help with crossing systems, leaving align time speed to low slots. In your high and medium slots, fit whatever tank is appropriate for your skills. Your goal is to avoid conflict.