I currently have 2 projects and one of them is a trio,, I just brought with me the bass player and drummer from my other rock band to do this jazz project, my drummer was already great but I found out the bass player wasn't as solid as I thought and couldn't lock in and keep with the changes, so I replaced him.
The main thing for me to play in a trio is a solid bassist that keeps a solid groove and also backs you up harmonically.
Don't be afraid to let the drums and bass take over some times, it brings more variety to the songs, especially if you pull it of really tight.
You can also start to use bigger chords or diferent voicings for a fuller sound, other thing I noticed is if I'm playing a heavy rhytm is kind of hard to go to a single note lead, so I needed to write better breakdowns and be more creative, (effects can be your friend in this area, octaves especially help) I also started to notice that lately we are playing much more freely that when we started, it is a little harder at first, at least for me it was, but you'll get used to it.
And of course you cant mess up as much!!!.... in a trio mistakes are really hard to hide.
I play jazz because mistakes are just pasing tones , hehehe.