Each port on the switch can have exactly one untagged VLAN and multiple
tagged VLANs. On Procurve switches, the ports *must* have one untagged VLAN.
Yes it is about as simple as you describe: figure out whether the AP needs to send
one of the VLANs untagged. If it does, do a "vlan <vid>" then "untagged <port>"
for that VLAN. For the rest of the VLANs do a "vlan <vid>" then "tagged <port>"
If the AP has no untagged VLAN, it is probably best to go into VLAN 1, the default
vlan, and put the port in there as untagged. However, it looks like you are planning to use
VLAN1 for production traffic. First, consider possibly not doing that. The only thing it really
should be used for in multi-vlan networks is CST spanning tree or if you are feeling lazy,
switch management traffic. If you need to use VLAN1 and the AP wants all its vlans
tagged, you will have to pick another, different, vlan to work as the untagged VLAN for
that port.
Remember to also do a "tagged <port>" for all the uplinks to other switches
that must carry this VLAN, but not if the VLAN in question is the untagged VLAN
for the uplink. Make sure all your inter-switch links have matching untagged
and tagged VLAN settings on ports that are connected to each other.