Its important to take floor exploration slowly. Always make sure there arent threats behind you to deal with before moving on, and explore in directions that leave as few unknown threats around you in other rooms as possible.
Wait to consider opening potentially trapped chests or exploring rooms with teapped floors (they look slightly different than normal and usually have the chests in the center.
Always know where the nearest ghost is who can bail you out. Until you have a lot more will, its often better to just run away if you get caught out with a restraint and come back after a ghost helps you remove it.
As the above post mentions, wizard is often considered the easiest starting class. Aside from its aoe in combat, when paired with the smooth talker perk, you have access to the unlock/greater unlock spells, unless covered with a ton of gags...and the cost is reduced just by being a wizard from inner power.
Finally, Wizard gives you access you have to a magic lock removal two piece combo (they do cost spell points). First, Arcane blast (to initially allow the collecting of arcane energy), and Akashic conflux to convert arcane energy to mana and also allow you to use magic for 3 turns even when heavily restrained, by spending 100 arcane energy. This is your bread and butter of helping deal with restraints and can even make magic locks be the one you prefer enemies use over normal ones. Anytime else for anything else you generally want to be ready to run off to the nearest Ghost for help.