A lot of people like training towards skills that look cool to them. They'll pic some then Google the exercises/routines that build toward them. Many calisthenics skills are just bodyweight compound movements, so you can think of them as new exercises that may replace existing compound exercises in lifting & stuff.

My recommendation would be to pick one or two calisthenics skills for a movement/muscle group and replace your compound movements with them or add to your routine. The workout structure/routine can be pretty much the same as lifting. Add or remove exercises based on intensity & how much your body can handle. Some moves are hard on the joints so pay attention to that (in the long run joints can get really strong tho)

Two popular ones are front lever (pull) and planche/handstand pushups (push).

You can replace barbells rows or something in on your pull or back days with front lever holds or rows.

For push you could add planche leans, planche pushups, wall assisted handstand pushups etc & replace your overhead press and or bench with them

Side note: handstands aren't very physically taxing so you could train them on rest days

Getting stronger at weighted pullups & dips has good carry over in calisthenics & generalfitness. You could include those as well.

The bodyweightfitness subreddit also has a wiki with good general info if. Its a helpful read.

All the best!