Self maintenance and Self paid equipment edicts are a must. Workshop for level 1 gives good money and basically subjugating more levels gives money. Publishing info is also good, just so u know it makes u vulnerable and if you'd want to clear levels u will have to skip fights to reach the boss.
Won't I go bankrupt if I go for self maintenance and self paid equipment edicts first?
Self Paid Equipment is a good early pick because it saves you money. Self Maintenance is not a good early pick since it requires taking Standard Equipment first which means it worsens your balance sheet overall.
Prison Guards for Office is the most impactful edict you can pick early on to reduce expenses, but your office will never be as safe as it could be. It's a very solid pick on Prisoner imo.
Cautious Stance is really useful. You can use it to farm counterattacks, and it's possible to activate cautious stance in the same turn you adjust clothes or revitalize, which drastically improves your action economy.
Both Mind Training and Endurance Training unlocks a lot of useful abilities down the tree, so you'll want to get started on them at some point.
Be careful about edicts that improve order/control, especially at the cost of more expenses. You earn more subsidies at lower order, so taking these edicts can be a bit of a trap if you don't actually need the order boost. Unless you're trying to obtain the titles for maintaining 100 order over time, it's more efficient to leave order in the 20-50 range and take advantage of the extra money.
Save up for the Palladium bracelet at some point (but not at the expense of wasting edict points). This should be your first major purchase. The energy regen it gives is incredibly good.