No herbicides will select out the strawberry and leave your other plants undamaged. You can carefully apply a non-selective herbicide to the target weeds with a paint brush or similar method to avoid getting any on your landscape plants; this may or may not be feasible in your situation.

Just to clarify the good advice from JAYK....herbicides are available that are selective but only within two main categories: there are herbicides that you can spray on top of broad leaf plants to kill grasses......and there are herbicides that you can spray on top of grasses to kill broad leaf plants. Science hasn't come so far as to develop a product that will only kill 'certain' broadleaf plants in a bed of other broadleaves!

To date, that weedkiller would have to be YOU, bending over and pulling those unwanted plants out!