Maximizing Leveling

There are a few different methods when it comes to leveling up fast (power leveling), and what level you should start using the Lucky egg. Some people say you should start with the lucky egg, some say you should only use it when you have enough Candies to get you to level 20, others say to just use it when you get it. Well if this helps you any, the only one of those I disapprove, is using whenever you get one. You get a lucky egg for hitting level 9 and one for hitting level 10. You can use one to get to level 15 and the other to get to level 20. But what if the evolving method isn't enough?

What you get experience from:

• Gyms, depends on how many Pokemon you defeat 
• Pokestops, 50
• New Pokemon entries, 600
• Evolving, 500
• Curveballs, 10
• Accuracy, nice 10, great 50, excellent 100 
• Eggs, 100 per kilometer 
• Wild Pokemon, 100

I'm not good with getting accurate throws so I'm not sure of any tips on how to get them every time, though throwing a curve ball isn't a bad option for that 10 extra experience. To toss a curve ball, just pick up the ball and spin your finger. It will take some time to master, but it's not that bad once you get the hang of it.

Entering new Pokemon in the Pokedex is what makes starting with a lucky egg so good. Every Pokemon is new at that point, but I would walk or look for Pokemon in a known hotspot that has several different Pokemon. You get 600 experience from new Pokemon, but with a lucky egg, it's 1200 experience. Levels from 1-10 don't take a whole lot of experience, but in reality, I only see someone getting to level 5 with purely catching new Pokemon, this is where stops come in. Yes, Pokestop only grant 50 experience however when there are a lot together the experience adds up fast. Depending on how lucky you are with your nearby stops, I can see people easily hitting level 10 starting off with a lucky egg. 

Saving enough candies to hit level 20 however, in my opinion, is the best option. It saves you on a dollar and the first 10 levels are easy enough as they are. I've seen and done it myself, people use incenses and lures when using the lucky egg evolving method, but I don't recommend doing that. Encountering a Pokemon only wastes the duration of the lucky egg because you only get 200 experience for capturing Pokemon. Instead, locate yourself to a place that enough stops close enough the will refresh in time to start your route over again. They may only give 100 experience with a lucky egg on, but that only take a few seconds to encounter. While you are walking to the next stop, go ahead and start evolving away. In no time you should be getting levels left and right, depending on what level you already are of course.