You've had pretty good advice from other posters here, I'm going to take a slightly contrary stance and say that you don't really need a saddle and rope. They are nice to have, for sure... and add an extra element of safety - especially if you need to make a quick descent from the tree after hurting yourself, getting attacked by bees etc. But if all you are going to do is your own palms, and you have a ladder, then a second lanyard will see you set.
Have one of your lanyards as per normal - round the tree and back to the belt, and the other round the tree in a full loop and back to your belt. The 'full wrap' lanyard will slow you down, but it will slow you down when you gaff out too ;-)
Good spiking technique is what it's all about. For people knew to rope work and new to tree work this is harder than it sounds. In essence you want to keep your upper body at least a foot out from the trunk, or even more. Adjusting your lanyard to put you furhter out from the trunk puts more strain on your belt, but reduces the chances of your gaffs skidding out. Find yourself gaffing out often? lean out more! The bigger angle will push your gaffs much more into the trunk. Try to keep your lanyards as close to waist level as possible at all times. Good lanyard flipping technique comes with practice, watching others, and you tube videos ;-)
When you get to the top and are ready to work, you can gaff in deep and hard, then pull yourself in so you are comfortably standing 'up'. For myself, I tend to move around the crown in a circle, especially for phoenix, washingtonia and cabbage palms, a bit less so for cocos and less again for bangalows. Don't go swinging a saw where you can't see it!
The way down is where a lot come unstuck, mainly from trying to keep too close into the tree. I recommend keeping your upper body a foot or two out from the trunk, lean back far in your lanyard and keep both hands on the lanyard! Step one foot down and firmly plant it at a good angle to the trunk (into the same gaff holes you made on the way up if you're keen), then the other leg down in the same way. Now your lanyard is too high and your angle to the tree is too steep. lean in *just a little* to take tension off the lanyard and flip it down and lean out again. Then repeat all the way back to ladder/ground.
A rope plus a prussik or descender will give you a quick emergency descent, or prevent you having to gaff down which is something that some guys have trouble with.
Best of luck!
Shaun