You may or may not have a problem , it depends on your soil profile, the gradient, and your climate.

Many years ago we bought a hillside lot in the middle of the woods on the pacific NW coast.
I used a professional quality weed eater with a special brush cutting blade , which looks like a skill saw blade.
It made cutting through the brush and small trees easy work.
I strategically left a fair amount of the shrubby root systems for erosion control and slowly removed portions over time as I landscaped the hillside.

If you are concerned about landslides or land slippage you can look up your parcel on a US geo map or go down to your county office and read the geo report for your area - this might not be a concern for your area but it is here in CA.
I find it very helpful research info when starting a new landscaping project where we will be denuding a hillside for a new landscape project.
If there has been a history of landslides, extensive erosion or landslide repair in the area, you'll be better prepared in understanding how to best approach working on and developing your property.