there is no fee when enter in a planet anymore.
Also, you need Sleipnir or Quad, fuel and space thruster. Oil you need 5 PED to be sure (the trip must be 2 or less! never did that way) and ofc get a vehicle repairer RK-5 and some welding wire. that's to repair your ship and to avoid been traped to SS if a pirate shot you down.
I'd also suggest buying a repair tool and some welding wire to go with it just in case you accidentally run in to one of the pve zones in space and get a few bites on the ship by space mobs or get shot down by a pirate.
I'd also suggest travelling in the middle of the week rather than on the weekend, and do so at an oddball hour like 3 AM or something so you are in the sky when the pirates are at home in bed.