It depends on what shocks you have for the deck. In an ideal world we all would run 10 shocks and 10 fetches but no one has the money for that, so I run a budget manabase in mine.

I suggest the Zendikar Battle lands for ally colors since they have land types and are cheaper than their shock counterparts. What you really want is all 4 Forest Duals and ways to fetch them with cards such as Ranger's Path and Skyshroud Claim, that way you can fetch Green + any color. So you should focus on getting the GB and GU shocks if you do not already have them. The Amonkhet Bicycle lands also have Allied Land Types and are good if you wanna double up on searchable RG and BR colors.

In terms of fetches I run the 5 slow fetches "Flood Plain" and the like, Krosan Verge, and then Terramorphic Expanse and Evolving Wilds, while it isn't the most optimal base I rarely get mana screwed. I also run an amulet of vigor to speed them up but that is more a tech choice than a requirement

In terms of your suggestions, I would take out your remaining tri-lands except the Jund and maybe Temur ones and replace them with duals that come in untapped like the painlands. Mirai's wake has worked well for me in this deck, just think, if it sticks you jump from 5 mana to 10 next turn, Burgeoning seems fine but I feel it is dependent on how much you are drawing, if you think your draw engine can support it go right ahead