I hop the front wheel when going up a pavement lip like that. You don't need to get the bike airborne. Just lift the front tire an inch. Helps reduce impact on the tire and rim, and pinch flats.
This^
Just before you hit the lip jump the front wheel up over the lip. Practice coming into a lip at right angles and jumping the front wheel over the lip. Then slowly come in at a more oblique angle each time.