This is why urgent care exists and is why if you don't have something that you think is life threatening, that's almost always better. If you need more than they can provide, they can and very much will forward you on to an ER
If you need stitches then the ER is the correct place to be.
Most of the minor lacerations which require stitches to heal cleanly can be handled perfectly well in urgent care. There's usually no need for ER level care.