Don't connect the DAP to the router if you want to run it in bridge mode.
Connect one Laptop or PC via cable and assign a staic ip to in the properties of the network connection.
For example:
192.168.0.11
255.255.255.0
Gateway and DNS: 192.168.0.1 (your router IP if you use DNS Relay)
(this is only for configuration,don't forget to set it back afterwards.)
Opne the menu of the DAP with IE and on the wireless site search your router's network and enter the password. (For best results use WPA2-PSK/AES - no Auto settings in the router)
Save the settings and restart the device.
Now the DAP should connect and you should be able to reach your network and the internet.
I've also noticed other wierdness like after connecting the bridge to my router I can't modify most of the wireless settings as they are greyed out in the web interface
That is normal, in bridge mode the DAP is a client and uses the settings provided by your router.
If you would change them, you would not be able to connect anymore.
Im running both for several weeks no without any problem.
DIR with latest 1.33NA and DAP with 1.21.
I recommend to give all devices connected to the bridge static ip addresses.
DHCP can lead to trouble if you restart the bridge as it needs a time to be online again.
Some devices assign themselves an APIPA address then (169.254.x.x) and are no longer connected.
Hope this helps