I would recommend trying a bowtie alone before adding the rabbit ears and bowtie together. The same connector you are using for rabbit ears will work for the bowtie. I say this because, when I combined the 2 antennas with the 4-screw uhf/vhf adapter, my reception was considerably worse for uhf signals. Also, be aware that the bowtie alone may be able to receive vhf high signals. Aim for one channel at a time.
I'm surprised to report that the $4 UHF bowtie from Radio Shack picked up exactly the same set of digital stations that I was receiving with rabbit ears. Does this mean they are all UHF stations or does it mean the UHF antenna also picks up VHF and vice versa? If anything the bowtie gets a slightly better signal.