I can get some approximate numbers here for you. Heh, don't have all the calculators around that I used to use in the fish store. Head pressure requires a fair bit of calcs to estimate.
HEAD PRESSURE FROM HOSE:
Water @0.5 GPM through a 0.125" plastic pipe =
2.9 PSI per foot of total length with no height change.
PRESSURE LOSS:
Water @ 0.5 GPM through a 8 foot 0.125" plastic pipe (1 foot pipe per outlet) with 8 outlets =
23 PSI Loss
HEAD PRESSURE FROM TEE:
Water @ o.5 GPM through a 0.125" plastic tee (one side) =
0.0007 PSI per fitting side.
So, assuming you have not more than 8 outlets and 8 foot of total dripline; you can just consider the 23 PSI "Loss". Each extra foot of hose that you add over this will increase head pressure by appx 3 PSI. Say your total hose then was 15 foot; the total head pressure + pressure loss would be appx 44 PSI.
Then you just need to purchase a pump that delivers 0.5 GPM @ 44-50 PSI.
In this example, something like below might work well.
Main Calcs used:
http://irrigation.wsu.edu/Content/Calculators/General/Pressure-Loss-With-Outlets.php
http://www.lmnoeng.com/pipes.php