Burbank is in the San Fernando valley and there are only two parks in the valley. One in Va Nuys (Birminghan rv(rough area) and one in Northridge, Walnut RV Park.
Walnut will have you near shopping malls, Fwy access and it's in an upper middle class area.
Other than that you can head up the coast or up the I 5 into Castaic.
If I get a chance today I'll go by both parks and let you know what I find.
I'd rather be boon docking in the desert.
WBCCI 6731 FCU
Yes, we have courtesy parking for you. About an hour North of Los Angeles.