Boots of Elvenkind

[Firehand]

These soft boots are partially made out of living leaves and other natural materials.

They enable the wearer to move nimbly about in virtually any surroundings, granting a +5 competence bonus on Acrobatics checks.

Does this do anything regarding difficult terrain?

[Sphynx]

No, there are no rules that I am aware of that lets you increase your movement via Acrobatics over difficult terrain.

[Azothath]

how to research a question -
so say you have a question about Acrobatics and Difficult Terrain
as it's a skill - look it up
Acrobatics read up on the skill and interactions at the end... it talks about inclines and such, but not difficult terrain.

next move onto the state
"difficult terrain" search on AoN and read some of the entries.

There are the two feats: Nimble Moves and then Acrobatic steps. So 2 feats to ignore some difficult terrain. Just Dex and no Acro requirement...

but spells... Feather Step (can ignore difficult terrain), Air Step (might ignore difficult terrain and movement rate tied to Fly skill ranks), Ward of the Season(Winter - can ignore mundane difficult terrain using spell duration), Solidify Earth, Web... Again the two topics don't both show up in descriptions together.

Lastly [PFS] Boots of Elvenkind [feet] $2500, +5 comp Acro. So pretty specific for the skill, jumping, avoiding creating AoO from moving through threatened squares.